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.
$f (x) = 2 x - 5 .$

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.
$f (x) = 2 x - 5 .$

Accepted Answer

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

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

(c) The graph of $f (x)$ is

(d) The function is increasing.

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Precalculus Enhanced with Graphing Utilities

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Short Answer

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.
$f (x) = 2 x - 5 .$

Step by Step Solution

Part (a) Step 1. Given information

Step 2. Simplify

Part (b) Step 1. Given information

Step 2. Conclusion

Part (c) Step 1. Given information

Step 2. Graphing

Part (d) Step 1. Given information

Step 2. Conclusion

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

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.fx=2x-5.

Step by Step Solution

Part (a) Step 1. Given information

Step 2. Simplify

Part (b) Step 1. Given information

Step 2. Conclusion

Part (c) Step 1. Given information

Step 2. Graphing

Part (d) Step 1. Given information

Step 2. Conclusion

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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.
$f (x) = 2 x - 5 .$