Practice Page
Directions: Answer these questions pertaining to the graphs of polynomial functions. Choose the best answer. The cartoon "comments" may, or may not, be helpful! Check your answer when finished.

1.
Given: P(x) = x2 + 2x - 24
At what x-values will the graph cross the x-axis?
graphfaccartoon1
       Choose:
 
x = +6, x = -4
x = +3, x = -8
  x = +4, x = -6 x = -3, x = 8



2.
A polynomial function is defined to be
f (x) = (x + 3)(x - 2)2.
Which choice describes the graph's behavior at the x-axis?
grapolycartoon2
Choose:
The graph only touches the x-axis at x = -3, but crosses the x-axis at x = 2.
The graph only touches the x-axis at x = 3, but crosses the x-axis at x = -2.
The graph only touches the x-axis at x = 2, but crosses the x-axis at x = -3.
The graph only touches the x-axis at x = -2, but crosses the x-axis at x = 3.



3.
Given:  the graph at the right.
Which choice lists possible factors of this polynomial function?
prac3graph
Choose:
(x - 4)(x - 1)(x + 1)
x = -4; x = -1; x = 1
x = 4; x = 1; x = -1
(x + 4)(x + 1)(x - 1)



4.
Given: the graph at the right.
Which choice is the y-value of the relative maximum reached by this graph?
prac4graph
       Choose:
 
1
0
 
none (approaches +∞)
4



5.
Given: the graph at the right.
Which choice best describes the polynomial function associated with this graph based upon the graphs "end behaviors"?

Choose:
prac5graph
 
the degree is even and the leading coefficient is negative
the degree is even and the leading coefficient is positive
the degree is odd and the leading coefficient is negative
the degree is odd and the leading coefficient is positive



6.
Given: P(x) = x3 + 6x2 + 8x
Which choice shows the roots of this polynomial function?
Choose:
x = 0, -2, -4
x = 0, 2, -4
x = 0, 2, 4 x = 0, -2, 4
graphpolycartoon3



7.
Given: P(x) = x2 - 2x - 48
Which choice shows the x-intercepts of this polynomial function?
graphpolycartoon5
Choose:
(-8,0), (6,0)
(-6,0), (8,0)
(0,-8), (0,6)
(0,-6), (0,8)



8.
Given: P(x) = x2 - 6x + 9
Which choice states the number of x-intercepts of this polynomial function?
graphpolycartoon4a
       Choose:
 
1
2
3 0




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