Maths

Grade-10

Easy

Question

For the square root function $f left parenthesis x right parenthesis equals square root of x$ , the average rate of change between x = 1 & p is 0.366. What is the value of p?

2
3
4
5

hint Hint:

average rate is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph. Substitute the given values and find value of p.

The correct answer is: 3

Given , left parenthesis x right parenthesis equals square root of x, the average rate of change between x = 1 & p is 0.366
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell f left parenthesis 1 right parenthesis equals square root of 1 equals 1 end cell row cell f left parenthesis p right parenthesis equals square root of p end cell end table$
$A v e r a g e space r a t e equals fraction numerator f left parenthesis p right parenthesis minus f left parenthesis 1 right parenthesis over denominator p minus 1 end fraction rightwards double arrow fraction numerator square root of p minus 1 over denominator p minus 1 end fraction equals 0.366 space left square bracket space u sin g space a squared minus b squared space equals space left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis right square bracket rightwards double arrow fraction numerator 1 over denominator square root of p plus 1 end fraction space equals space 0.366 square root of p space plus space 1 space equals space 2.732 square root of p space equals space 1.732 s u q a r i n g space o n space b o t h space s i d e space g i v e s space comma p space equals space 3$
Therefore, the value of p is 3.

Evaluate $r left parenthesis x right parenthesis equals fraction numerator square root of 2 x end root over denominator 7 end fraction$ for the variable x = 5 to the nearest hundredth.

MathsGrade-10

Grade-10

Maths

Write an expression for the function which has a translation by 3 units up of f(x) = $square root of x$ .

MathsGrade-10

Grade-10

Maths

Find the x-intercept and y-intercept of $y equals square root of x minus 2$ .

Here we used the concept of intercepts. The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis. So the intercepts are x-intercept = 4; y-intercept = -2

Find the x-intercept and y-intercept of $y equals square root of x minus 2$ .

MathsGrade-10

Grade-10

Maths

The graph of $r left parenthesis x right parenthesis equals square root of x plus 5 end root$ is _________ of $f left parenthesis x right parenthesis equals square root of x$

MathsGrade-10

Grade-10

Maths

Find the domain of the function $g left parenthesis x right parenthesis equals square root of x plus 3 end root$

MathsGrade-10

Grade-10

Maths

Which of the following function is horizontal translation of $f left parenthesis x right parenthesis equals square root of x$

MathsGrade-10

Grade-10

Maths

Find the minimum point of the function $f left parenthesis x right parenthesis equals square root of x plus 9 end root minus 4$ .

MathsGrade-10

Grade-10

Maths

How does the graph $s left parenthesis x right parenthesis equals square root of x minus 1 end root plus 3$ compared to the graph of $f left parenthesis x right parenthesis equals square root of x$ ?

MathsGrade-10

Grade-10

Maths

For the square root function $f left parenthesis x right parenthesis equals square root of x$ , the average rate of change between x = 5& x = q is 0.185. What is the value of q?

MathsGrade-10

Grade-10

Maths

Find the average rate of change of the function $p left parenthesis x right parenthesis equals square root of 10 x end root semicolon space of 1em 0.5 less or equal than x less or equal than 1.5$

MathsGrade-10

Grade-10

Maths

Evaluate $q left parenthesis x right parenthesis equals square root of x plus 2 end root$ for the variable x = 3 to the nearest hundredth.

MathsGrade-10

Grade-10

Maths

Write an expression for the function which has a translation by 1 unit left of f(x) = $square root of x$ .

MathsGrade-10

Grade-10

Maths

Find the x-intercept and y-intercept of $y equals square root of x minus 7 end root$

MathsGrade-10

Grade-10

Maths

The graph of $g left parenthesis x right parenthesis equals square root of x plus 7$ is _________ of $f left parenthesis x right parenthesis equals square root of x$

MathsGrade-10

Grade-10

Maths

Find the domain of the function $t left parenthesis x right parenthesis equals square root of x minus 2 end root$ .

MathsGrade-10

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

For the square root function , the average rate of change between x = 1 & p is 0.366. What is the value of p?

2345

average rate is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph. Substitute the given values and find value of p.

The correct answer is: 3

Given , left parenthesis x right parenthesis equals square root of x, the average rate of change between x = 1 & p is 0.366Therefore, the value of p is 3.

Related Questions to study

Evaluate for the variable x = 5 to the nearest hundredth.

Evaluate for the variable x = 5 to the nearest hundredth.

Write an expression for the function which has a translation by 3 units up of f(x) = .

Write an expression for the function which has a translation by 3 units up of f(x) = .

Find the x-intercept and y-intercept of .

Find the x-intercept and y-intercept of .

The graph of is _________ of

The graph of is _________ of

Find the domain of the function

Find the domain of the function

Which of the following function is horizontal translation of

Which of the following function is horizontal translation of

Find the minimum point of the function .

Find the minimum point of the function .

How does the graph compared to the graph of ?

How does the graph compared to the graph of ?

For the square root function , the average rate of change between x = 5& x = q is 0.185. What is the value of q?

For the square root function , the average rate of change between x = 5& x = q is 0.185. What is the value of q?

Find the average rate of change of the function

Find the average rate of change of the function

Evaluate for the variable x = 3 to the nearest hundredth.

Evaluate for the variable x = 3 to the nearest hundredth.

Write an expression for the function which has a translation by 1 unit left of f(x) = .

Write an expression for the function which has a translation by 1 unit left of f(x) = .

Find the x-intercept and y-intercept of

Find the x-intercept and y-intercept of

The graph of is _________ of

The graph of is _________ of

Find the domain of the function .

Find the domain of the function .

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

For the square root function $f left parenthesis x right parenthesis equals square root of x$ , the average rate of change between x = 1 & p is 0.366. What is the value of p?

2
3
4
5

Evaluate $r left parenthesis x right parenthesis equals fraction numerator square root of 2 x end root over denominator 7 end fraction$ for the variable x = 5 to the nearest hundredth.

Evaluate $r left parenthesis x right parenthesis equals fraction numerator square root of 2 x end root over denominator 7 end fraction$ for the variable x = 5 to the nearest hundredth.

Write an expression for the function which has a translation by 3 units up of f(x) = $square root of x$ .

Write an expression for the function which has a translation by 3 units up of f(x) = $square root of x$ .

Find the x-intercept and y-intercept of $y equals square root of x minus 2$ .

Find the x-intercept and y-intercept of $y equals square root of x minus 2$ .

The graph of $r left parenthesis x right parenthesis equals square root of x plus 5 end root$ is _________ of $f left parenthesis x right parenthesis equals square root of x$

The graph of $r left parenthesis x right parenthesis equals square root of x plus 5 end root$ is _________ of $f left parenthesis x right parenthesis equals square root of x$

Find the domain of the function $g left parenthesis x right parenthesis equals square root of x plus 3 end root$

Find the domain of the function $g left parenthesis x right parenthesis equals square root of x plus 3 end root$

Which of the following function is horizontal translation of $f left parenthesis x right parenthesis equals square root of x$

Which of the following function is horizontal translation of $f left parenthesis x right parenthesis equals square root of x$

Find the minimum point of the function $f left parenthesis x right parenthesis equals square root of x plus 9 end root minus 4$ .

Find the minimum point of the function $f left parenthesis x right parenthesis equals square root of x plus 9 end root minus 4$ .

How does the graph $s left parenthesis x right parenthesis equals square root of x minus 1 end root plus 3$ compared to the graph of $f left parenthesis x right parenthesis equals square root of x$ ?

How does the graph $s left parenthesis x right parenthesis equals square root of x minus 1 end root plus 3$ compared to the graph of $f left parenthesis x right parenthesis equals square root of x$ ?

For the square root function $f left parenthesis x right parenthesis equals square root of x$ , the average rate of change between x = 5& x = q is 0.185. What is the value of q?

For the square root function $f left parenthesis x right parenthesis equals square root of x$ , the average rate of change between x = 5& x = q is 0.185. What is the value of q?

Find the average rate of change of the function $p left parenthesis x right parenthesis equals square root of 10 x end root semicolon space of 1em 0.5 less or equal than x less or equal than 1.5$

Find the average rate of change of the function $p left parenthesis x right parenthesis equals square root of 10 x end root semicolon space of 1em 0.5 less or equal than x less or equal than 1.5$

Evaluate $q left parenthesis x right parenthesis equals square root of x plus 2 end root$ for the variable x = 3 to the nearest hundredth.

Evaluate $q left parenthesis x right parenthesis equals square root of x plus 2 end root$ for the variable x = 3 to the nearest hundredth.

Write an expression for the function which has a translation by 1 unit left of f(x) = $square root of x$ .

Write an expression for the function which has a translation by 1 unit left of f(x) = $square root of x$ .

Find the x-intercept and y-intercept of $y equals square root of x minus 7 end root$

Find the x-intercept and y-intercept of $y equals square root of x minus 7 end root$

The graph of $g left parenthesis x right parenthesis equals square root of x plus 7$ is _________ of $f left parenthesis x right parenthesis equals square root of x$

The graph of $g left parenthesis x right parenthesis equals square root of x plus 7$ is _________ of $f left parenthesis x right parenthesis equals square root of x$

Find the domain of the function $t left parenthesis x right parenthesis equals square root of x minus 2 end root$ .

Find the domain of the function $t left parenthesis x right parenthesis equals square root of x minus 2 end root$ .