Answered

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Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?

Which Statement Correctly Compares The Function Shown On This Graph With The Function Y 4x 2 class=

Sagot :

robertlyonsdamron
C sorry if I’m wrong but can I have brainliest

The statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'

What is rate of change of a function?

The rate at which one quantity is changing with respect to another quantity.

For given question;

It is given a function y = 4x + 2

This function represents a line.

We have slope of the line = 4 and y - intercept = 2

We already know that the rate of change of line is given by its slope.

So, the rate of change of given function ;

y = 4x + 2 is 4.

The starting point of function f(x) is 2.

The graph of the line passing through points (-1, 1) and (0, 4)

So using slope formula,

m = (4-1)/ 0-(-1)

m = 3

So, the rate of change of function is 3.

The rate of change of function shown on the graph is smaller than the rate of change of function y = 4x + 2

Thus, the statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'

Hence, The correct answer is option (A)

Learn more about the rate of change of function here:

brainly.com/question/21335643

#SPJ5

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