For the given polynomial function f complete parts (a) through (g). f(x)=(x-1)2(x+5)(x-4) What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below. O The graph touches but does not cross the x-axis. O The graph crosses the x-axis. O The function f has no real zeros. What is the graph's behavior at the other x-intercept? Choose the correct answer below. The graph crosses the x-axis. The graph touches but does not cross the x-axis. The function f has no real zeros. (c) Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The graph of f is above the x-axis on the interval (Type your answer in interval notation.) OB. The graph of f is not above the x-axis. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The graph of f is below the x-axis on the interval (Type your answer in interval notation.) B. The graph of f is not below the x-axis. For the given polynomial function f complete parts (a) through (g). f(x)=(x-1)2(x+5)(x-4) (a) Describe the end behavior of f. Choose the correct answer below. OA. The graph rises to the left and to the right. B. The graph falls to the left and to the right. OC. The graph rises to the left and falls to the right. OD. The graph falls to the left and rises to the right. (b) Find the real zeros of f. Determine whether the graph of f crosses or touches but does not cross the x-axis at each x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The real zeros of f are (Type an integer or a simplified fraction. Type each solution only once. Use a comma to separate answers as needed.) OB. The function f has no real zeros. What is graph's behavior at the smallest x-intercept? Choose the correct answer below. O The graph touches but does not cross the x-axis. O The graph crosses the x-axis. O The function f has no real zeros. What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below. O The graph touches but does not cross the x-axis. O The graph crosses the x-axis.
For the given polynomial function f complete parts (a) through (g). f(x)=(x-1)2(x+5)(x-4) What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below. O The graph touches but does not cross the x-axis. O The graph crosses the x-axis. O The function f has no real zeros. What is the graph's behavior at the other x-intercept? Choose the correct answer below. The graph crosses the x-axis. The graph touches but does not cross the x-axis. The function f has no real zeros. (c) Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The graph of f is above the x-axis on the interval (Type your answer in interval notation.) OB. The graph of f is not above the x-axis. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The graph of f is below the x-axis on the interval (Type your answer in interval notation.) B. The graph of f is not below the x-axis. For the given polynomial function f complete parts (a) through (g). f(x)=(x-1)2(x+5)(x-4) (a) Describe the end behavior of f. Choose the correct answer below. OA. The graph rises to the left and to the right. B. The graph falls to the left and to the right. OC. The graph rises to the left and falls to the right. OD. The graph falls to the left and rises to the right. (b) Find the real zeros of f. Determine whether the graph of f crosses or touches but does not cross the x-axis at each x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The real zeros of f are (Type an integer or a simplified fraction. Type each solution only once. Use a comma to separate answers as needed.) OB. The function f has no real zeros. What is graph's behavior at the smallest x-intercept? Choose the correct answer below. O The graph touches but does not cross the x-axis. O The graph crosses the x-axis. O The function f has no real zeros. What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below. O The graph touches but does not cross the x-axis. O The graph crosses the x-axis.
Chapter5: Polynomial And Rational Functions
Section5.2: Power Functions And Polynomial Functions
Problem 5SE: What can we conclude if, in general, the graph of apolynomial function exhibits the following...
Related questions
Question
![For the given polynomial function f complete parts (a) through (g).
f(x)=(x-1)2(x+5)(x-4)
What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below.
O The graph touches but does not cross the x-axis.
O The graph crosses the x-axis.
O The function f has no real zeros.
What is the graph's behavior at the other x-intercept? Choose the correct answer below.
The graph crosses the x-axis.
The graph touches but does not cross the x-axis.
The function f has no real zeros.
(c) Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
OA. The graph of f is above the x-axis on the interval
(Type your answer in interval notation.)
OB. The graph of f is not above the x-axis.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The graph of f is below the x-axis on the interval
(Type your answer in interval notation.)
B. The graph of f is not below the x-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11630109-3aca-430c-9024-da653c6086be%2Fe16ca4f7-dbe3-4ec9-b8ad-3099c8f03bdc%2Fvn8nwoh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the given polynomial function f complete parts (a) through (g).
f(x)=(x-1)2(x+5)(x-4)
What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below.
O The graph touches but does not cross the x-axis.
O The graph crosses the x-axis.
O The function f has no real zeros.
What is the graph's behavior at the other x-intercept? Choose the correct answer below.
The graph crosses the x-axis.
The graph touches but does not cross the x-axis.
The function f has no real zeros.
(c) Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
OA. The graph of f is above the x-axis on the interval
(Type your answer in interval notation.)
OB. The graph of f is not above the x-axis.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The graph of f is below the x-axis on the interval
(Type your answer in interval notation.)
B. The graph of f is not below the x-axis.
![For the given polynomial function f complete parts (a) through (g).
f(x)=(x-1)2(x+5)(x-4)
(a) Describe the end behavior of f. Choose the correct answer below.
OA. The graph rises to the left and to the right.
B. The graph falls to the left and to the right.
OC. The graph rises to the left and falls to the right.
OD. The graph falls to the left and rises to the right.
(b) Find the real zeros of f. Determine whether the graph of f crosses or touches but does not cross the x-axis at each x-intercept. Select the correct choice below and, if necessary, fill in the answer
box to complete your choice.
A. The real zeros of f are
(Type an integer or a simplified fraction. Type each solution only once. Use a comma to separate answers as needed.)
OB. The function f has no real zeros.
What is graph's behavior at the smallest x-intercept? Choose the correct answer below.
O The graph touches but does not cross the x-axis.
O
The graph crosses the x-axis.
O The function f has no real zeros.
What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below.
O The graph touches but does not cross the x-axis.
O The graph crosses the x-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11630109-3aca-430c-9024-da653c6086be%2Fe16ca4f7-dbe3-4ec9-b8ad-3099c8f03bdc%2Fv8zibn6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the given polynomial function f complete parts (a) through (g).
f(x)=(x-1)2(x+5)(x-4)
(a) Describe the end behavior of f. Choose the correct answer below.
OA. The graph rises to the left and to the right.
B. The graph falls to the left and to the right.
OC. The graph rises to the left and falls to the right.
OD. The graph falls to the left and rises to the right.
(b) Find the real zeros of f. Determine whether the graph of f crosses or touches but does not cross the x-axis at each x-intercept. Select the correct choice below and, if necessary, fill in the answer
box to complete your choice.
A. The real zeros of f are
(Type an integer or a simplified fraction. Type each solution only once. Use a comma to separate answers as needed.)
OB. The function f has no real zeros.
What is graph's behavior at the smallest x-intercept? Choose the correct answer below.
O The graph touches but does not cross the x-axis.
O
The graph crosses the x-axis.
O The function f has no real zeros.
What is the graph's behavior at the next smallest x-intercept? Choose the correct answer below.
O The graph touches but does not cross the x-axis.
O The graph crosses the x-axis.
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