polynomial functions multiple choice

algrnpue
timer Asked: Nov 7th, 2016

Question Description

Estimate the zeros of the function shown in the graph below.


{­-2.9, ­-1, 0.8}

{-­2, 0}

{-­2, ­-1, 0}

{­-2.9, -­1, ­-2, 0.8

=========================

In the function shown in the chart below, at which values of x are there relative minima or maxima?

xf(x)
-3-2
-22
-10
0-2
12
218
352

2 and ­-2

-3 and 3

-2 and 0

-3, 0, and 3

============================

In the function shown in the chart below, between what values of x would you find the zeros of the function?

xf(x)
-373
-28
-1-7
0-8
1-7
28
373

-1 and 0, 0 and 1

-2 and ­-1, 1 and 2

-7 and 8, ­-8 and ­-7

1 and ­-1

============================

Which of the following could be the graph of f(x) = x3 + x2 ­- 3x?

A.

B.

C.

D.

========


========================================

Estimate the relative maximums in the graph below.


(1.3, 1.4) and (-­0.6, 2.6)

(­-0.6, 2.6,), (0.5, 0.3), and (1.3, 1.4)

(­-1, 0) and (1.8, 0)

(-­1, 0), (0, 1), and (1.8, 0)

====================

Which of the following shows a graph that meets the following conditions.

I. As x → ∞, f(x) → ∞
II. The degree of f(x) is odd
III. the leading coefficient is positive

A.

B.

C.

D.

=====================================

For the graph below, which of the following is true?

I. As x → ∞, f(x) → ∞
II. As x → ∞, f(x) → ­-∞
III. As x → -­∞, f(x) → ∞
IV. As x → ­-∞, f(x) → -­∞
V. f(x) is odd
VI. the leading coefficient is negative


I, III, and V are true

II, III, V, and VI are true

II, III, and V are true

II, IV, V, and VI are true

====================================

Find r(x + 1) if r(x) = x3 + x + 1


x3 + 3x2 + 4x + 3

x3 + 4x2 + 5x + 3

x3 + 2x + 3

x4 + x3 + x2 + 2x + 1

=======================

Find p(­-4) if p(x) = x5 - x2


1040

-1040

1008

-1008

============================

What is the degree and leading coefficient of the polynomial below?

6x3 + 3x4 = 2x2 - 2


degree = 4, leading coefficient = 3

degree = 3, leading coefficient = 6

degree = 2, leading coefficient = 2

degree = 0, leading coefficient = ­-2



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