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
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].
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].