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Mathematics

Grade10

Easy

Question

Consider the function f(x) = 2IxI. What is the rate of change over the interval 0 $less or equal than$ x $less or equal than$ 4?

2
4
$\frac{1}{4}$
$\frac{1}{2}$

hint Hint:

To find out the rate of change, we observe the coordinates of the points which are on the graph. Then, we plug in the values of x and y's in the rate of change formula to get the required solution.

The correct answer is: 2

Step 1 of 1:
Observe that,
x = 0, f(x) = 0
So, x_{1 =}0, y₁ = 0
x = 4, f(x) = 8
So, x₂ = 4, y₂ = 8
Rate of change (m) = $fraction numerator left parenthesis y subscript 2 minus space y subscript 1 right parenthesis over denominator left parenthesis x subscript 2 minus space x subscript 1 right parenthesis end fraction space equals space fraction numerator left parenthesis 8 space – space 0 right parenthesis over denominator left parenthesis 4 space – space 0 right parenthesis end fraction equals space 8 over 4 equals 2$
Final Answer:
The right choice is-- C. 2

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