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

mharrigan920 Mar 9, 2020

#1**+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].

geno3141 Mar 9, 2020

#1**+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