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Q. 1

Expert-verifiedFound in: Page 173

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

In Problems 1–3:

(a) Determine the slope and y-intercept of each linear function.

(b) Find the average rate of change of each function.

(c) Graph each function. Label the intercepts.

(d) Determine whether the function is increasing, decreasing, or constant.

$f\left(x\right)=2x-5.$

(a) The slope is $2$ and $y$-intercept is $-2.$

(b) The average rate of change of $f\left(x\right)$ is $2.$

(c) The graph of $f\left(x\right)$ is

(d) The function is increasing.

It is given that $f\left(x\right)=2x-5.$ We need to determine the slope and $y$-intercept of each linear function.

The given function is, $f\left(x\right)=2x-5.$ If the function is $f\left(x\right)=mx+b$ then $m$ is the slope and $b$ is the $y$-intercept of the function. So, the slope is $m=2$ and $y$-intercept is $b=-5$ for the linear function $f\left(x\right)=2x-5.$

It is given that $f\left(x\right)=2x-5.$ We need to determine the average of the change of the function.

We know that the average rate of change is the same as the slope is $2.$

It is given that $f\left(x\right)=2x-5.$ We need to graph the function and label the intercept.

The graph of $f\left(x\right)$ is

The given function is $f\left(x\right)=2x-5.$ We need to determine whether the function is increasing, decreasing, or constant.

As we increase the value of the argument $x$ the function values rise so the function is increasing all the time.

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