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?

  1. 2    
  2. 4    
  3. 1 fourth
  4. 1 half

hintHint:

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, x1 = 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

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.