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For the given polynomial function f complete parts ​(a) through

​(g).

 

f(x)=(x-3)^2(x+5)(x-6)

 

a) end behavior of F= graph rises (LEFT OR RIGHT??) and falls (LEFT OR RIGHT))????

 

b) Find real zeroes

 

c) A B OR C

What is​ graph's behavior at the smallest​ x-intercept? Choose the correct answer below.

a ) The graph crosses the​ x-axis.

b) The graph touches but does not cross the​ x-axis.

c) The function f has no real zeros.

 

d)A B OR C

What is the​ graph's behavior at the next smallest​ x-intercept? Choose the correct answer below.

a) The graph touches but does not cross the​ x-axis.

b) The graph crosses the​ x-axis.

c) The function f has no real zeros.

 

What is the​ graph's behavior at the other​ x-intercept? Choose the correct answer below. A B OR C

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.

Graph of f is above the x axis on the interval ______?? INTERNVAL NOTATION

 

BELOW THE X AXIS ON THE INTERNVAL _______ OR NOT BELOW

 Mar 9, 2020

Best Answer 

 #1
avatar+21945 
+1

a)  This is a quadratic polynomial with a positive coefficient; so it rises at both the left and right ends.

b)  The zeroes are 3 (double root), -5, and 6.

c)  At -5, it passes through the x-axis.

d)  At 3 (a double root), it touches but does not pass through the x-axis.

e)  At 6, it passes through the x-axis.

f)  The graph is above (or not below) in the interval (-inf, -5], [3,3] and [6, inf). 

    The graph is below (or not above) in the interval [-5,6].

 Mar 9, 2020
 #1
avatar+21945 
+1
Best Answer

a)  This is a quadratic polynomial with a positive coefficient; so it rises at both the left and right ends.

b)  The zeroes are 3 (double root), -5, and 6.

c)  At -5, it passes through the x-axis.

d)  At 3 (a double root), it touches but does not pass through the x-axis.

e)  At 6, it passes through the x-axis.

f)  The graph is above (or not below) in the interval (-inf, -5], [3,3] and [6, inf). 

    The graph is below (or not above) in the interval [-5,6].

geno3141 Mar 9, 2020

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