Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

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

$G\left(x\right)=4$

Step-by-Step Solution

Answer

Slope$=0$

y-intercept$=(0,4)$

Rate of change$=0$

The function is constant.

Part (a) Step 1. Given Information

$G\left(x\right)=4$

Part (a) Step 2. Calculation

Clearly, The slope of the given function is $0$.

For y-intercept, abscissa is $0$.

Then co-ordinate of y-intercept is $(0,4)$.

Part (b) Step 1. Given Information

 $G\left(x\right)=4$

Part ((b) Step 2. Calculation

Since the slope of the function $G\left(x\right)=4$is $0.$

Then the rate of change is also $0.$

Part (c) Step 1. Give Information

$G\left(x\right)=4$

Part (c) Step 2. Graph

Part (d) Step 1. Given Information

$G\left(x\right)=4$

Part (d) Step 2. Calculation

Since the slope of the given function is $0.$

Then the function is constant.