8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞ and as

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 83E
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Answer #8 and follow the Instructions.

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Practice and Problem Solving
Extra Practice is found on page R2.
Use the given key features to sketch a linear graph.
6. The y-intercept is 7. The function is increasing for all values of x. The function is
positive for x > -3. As x → 0, f(x) → ∞ and as x → -0, f(x) → -0.
7 The y-intercept is –1. The function is decreasing for all values of x. The domain of the
function is -4 s xs 3. The range of the function is -4 sys 3.
Example 1
Use the given key features to sketch a nonlinear graph.
8. The y-intercept is –4. The function has no x-intercepts. As x → 0, f(x) → -∞ and as
x--x, f(x) → -.
Example 2
9. The y-intercept is 1. The function is positive for all values of x. The function is
decreasing for x < -1. The function is increasing for x > 1. As x → o, f(x) –→∞ and as
x--0, f(x) →∞
10. HIKING Andrew is hiking in a mountainous area of a state park. Use the given key
features to sketch a graph.
Example 3
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he
stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.
Transcribed Image Text:Practice and Problem Solving Extra Practice is found on page R2. Use the given key features to sketch a linear graph. 6. The y-intercept is 7. The function is increasing for all values of x. The function is positive for x > -3. As x → 0, f(x) → ∞ and as x → -0, f(x) → -0. 7 The y-intercept is –1. The function is decreasing for all values of x. The domain of the function is -4 s xs 3. The range of the function is -4 sys 3. Example 1 Use the given key features to sketch a nonlinear graph. 8. The y-intercept is –4. The function has no x-intercepts. As x → 0, f(x) → -∞ and as x--x, f(x) → -. Example 2 9. The y-intercept is 1. The function is positive for all values of x. The function is decreasing for x < -1. The function is increasing for x > 1. As x → o, f(x) –→∞ and as x--0, f(x) →∞ 10. HIKING Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph. Example 3 y-intercept: Andrew starts at an elevation of 0 feet. Extrema: Andrew's maximum elevation is 800 feet. Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes. Decreasing: Andrew hikes back to his starting point for the final 20 minutes.
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