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1. Find the degree, y-intercept, and zeros for the following polynomial function. f(r) = 2x² + 9x – 5 (a) degree is: (b) y-intercept is: (c) zero(s) is/are:

1. Find the degree, y-intercept, and zeros for the following polynomial function. f(r) = 2x² + 9x – 5 (a) degree is: (b) y-intercept is: (c) zero(s) is/are:

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
1. Find the degree, y-intercept, and zeros for the following polynomial function. f(x) = 2x2 + 9x – 5 (a) degree is: (b) y-intercept is: (c) zero(s) is/are: 2. Simplify the following trigonometric expression tan? r + cos²r sec² x 3. Evaluate the limit algebraically or explain why the limit does not exist 3x2 – 2x – 8 lim x² – 4 4. Determine the value of c such that the function remains continuous. Draw your resulting function to ensure it is continuous r2 + 1, r >c f(x) | 2.x, x <c
Transcribed Image Text:1. Find the degree, y-intercept, and zeros for the following polynomial function. f(x) = 2x2 + 9x – 5 (a) degree is: (b) y-intercept is: (c) zero(s) is/are: 2. Simplify the following trigonometric expression tan? r + cos²r sec² x 3. Evaluate the limit algebraically or explain why the limit does not exist 3x2 – 2x – 8 lim x² – 4 4. Determine the value of c such that the function remains continuous. Draw your resulting function to ensure it is continuous r2 + 1, r >c f(x) | 2.x, x <c
3. o 1+ -2 -1 0 5. Using the graph, find each limit or explain why the limit does not exist. (a) lim f(x) -1 (b) lim f(x) (c) lim f(x) (d) lim f(r) (e) lim f(x) (f) lim f(r) 6. A ball is thrown into the air and the vertical position is given by r(t) = -4.9t²+ 25t + 5. Use the Intermediate Value Theorem to show that the ball must land on the ground sometime between 5 sec and 6 sec after the throw.
Transcribed Image Text:3. o 1+ -2 -1 0 5. Using the graph, find each limit or explain why the limit does not exist. (a) lim f(x) -1 (b) lim f(x) (c) lim f(x) (d) lim f(r) (e) lim f(x) (f) lim f(r) 6. A ball is thrown into the air and the vertical position is given by r(t) = -4.9t²+ 25t + 5. Use the Intermediate Value Theorem to show that the ball must land on the ground sometime between 5 sec and 6 sec after the throw.
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