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:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...
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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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