Chapter 3.1, Problem 20AYU

In Problems 13-20, a linear function is given.

a. Determine the slope and $y\text{-intercept}$ of each Junction.

b. Use the slope and $y\text{-intercept}$ to graph the linear function.

c. Determine the average rate of change of each function.

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

$G(x)=-2$

To determine

To calculate:

a. Slope and the $y-\text{intercept}$ of the given function.

Answer to Problem 20AYU

Solution:

a. The slope is 0 and y intercept is $-2$.

Explanation of Solution

Given:

The given equation is $G(x)=-2$.

Formula used:

For a linear function of the form $f(x)=mx+b$, $m$ is the slope and $b$ is the $y-\text{intercept}$.

The average rate of change of the linear function is the slope of that function.

The function is said to be increasing in it domain, then its slope is positive.

The function is said to be decreasing in it domain, then its slope is negative.

The function is said to be constant if the slope is 0.

Calculation:

The given equation can also be written as $G(x)=0x-2$.

a. From the definition of the linear function, the slope of the given function is 0 and $-2$ is the $y\text{-intercept}$.