For the polynomial (x - 3)2(2x + 5), find the following: Write intercepts as ordered pairs. If there is more than one, separate each answer with a comma. If there is not an x-intercept with the given behavior, state "DNE" in the box next to the behavior. a) the end behavior of the graph using the leading coefficient test. Falls to the left and rises to the right ✓✓ b) all x-intercepts. Separate each intercept with a comma. c) the behavior of the graph at all x-intercepts: x-intercepts where the graph crosses the x-axis DNE I x-intercepts where the graph touches the x-axis and turns DNE d) the y-intercept. (0,45) (3,0), (5,0) OF X X

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 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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For the polynomial (x - 3)²(2x + 5), find the following:
Write intercepts as ordered pairs. If there is more than one, separate each answer with a
comma.
If there is not an x-intercept with the given behavior, state "DNE" in the box next to the
behavior.
a) the end behavior of the graph using the leading coefficient test.
Falls to the left and rises to the right ✓
or
b) all x-intercepts. Separate each intercept with a comma. (3.0). ( ⇒,0)
2
c) the behavior of the graph at all x-intercepts:
x-intercepts where the graph crosses the x-axis DNE
I
x-intercepts where the graph touches the x-axis and turns DNE
d) the y-intercept. (0,45)
X
X
✓
Transcribed Image Text:For the polynomial (x - 3)²(2x + 5), find the following: Write intercepts as ordered pairs. If there is more than one, separate each answer with a comma. If there is not an x-intercept with the given behavior, state "DNE" in the box next to the behavior. a) the end behavior of the graph using the leading coefficient test. Falls to the left and rises to the right ✓ or b) all x-intercepts. Separate each intercept with a comma. (3.0). ( ⇒,0) 2 c) the behavior of the graph at all x-intercepts: x-intercepts where the graph crosses the x-axis DNE I x-intercepts where the graph touches the x-axis and turns DNE d) the y-intercept. (0,45) X X ✓
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