Free Printable Precalc Chapter 2 Quiz Review

1.

Which graphs have a POSITIVE leading coefficient? (Check all that apply)

a)

b)

c)

d)

e)

2.

Which graphs have an ODD degree? (Check all that apply)

a)

b)

c)

d)

e)

3.

$\$ Which could be the graph of $f\left(x\right)=-3x^8+17x^6-14x^3+2x^2-1\ ?$

a)

b)

c)

d)

4.

$\$ Which could be the graph of $\ f\left(x\right)=-4x^5-19x^4+22x^2-x\ ?$

a)

b)

c)

d)

5.

$\$ Which graph depicts the function $f\left(x\right)=\left(x-6\right)\left(x-3\right)\left(x+8\right)?$

a)

b)

c)

d)

6.

$\$ Which graph depicts the function $f\left(x\right)=\left(x-2\right)^2\left(x-8\right)?$

a)

b)

c)

7.

$\$ Which graph depicts the equation $f\left(x\right)\ =x^2\left(x+4\right)^3\left(x-3\right)?$

a)

b)

c)

8.

Which is the equation for the graph shown?

a)

$f\left(x\right)=x^3\left(x-5\right)^2$

b)

$f\left(x\right)=x^2\left(x-5\right)$

c)

$f\left(x\right)=x^3\left(x+5\right)^2$

d)

$f\left(x\right)=x^2\left(x+5\right)^2$

9.

Express the END BEHAVIOR of the graph shown.

a)

x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty\

x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty

b)

$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$
$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

c)

$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$
$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

d)

$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$
$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

10.

Express the END BEHAVIOR of the function: $f\left(x\right)=-12x^7-19x^3+22$

a)

x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty\

x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty

b)

$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$
$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

c)

$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$
$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

d)

$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$
$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

11.

Which of the following could be the factored form for the equation representing the graph shown?

a)

(x+3)(x-2)(x-5)

b)

(x-5)²(x-2)(x+3)

c)

(x-3)(x+2)(x+5)²

d)

none of these

12.

What does multiplicity of a zero mean?

a)

Look at the number of terms

b)

How many times the zero repeats

c)

Find the sum of all the coefficients

d)

Ratio your x and y

13.

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

14.

Select all true statements:

$g\left(x\right)=-\left(x-5\right)\left(x-4\right)^2\left(x+1\right)\left(x+3\right)^2$

a)

The degree is 4.

b)

The roots are:

-5, -4, 1, 3

c)

The lead coefficient is negative.

d)

The end behaviors are both -∞.

e)

The y-intercept is (0,0)

15.

Which roots have even multiplicity?

a)

-3

b)

0

c)

2

d)

Cannot be determined

16.

Select the graph of the function:

$f\left(x\right)=-\left(x+2\right)\left(x+1\right)^2\left(x-1\right)\left(x-2\right)^2$

a)

b)

c)

d)

e)

17.

TRUE OR FALSE? If f is continuous on [-1,1], f(-1)=4 and f(1)= -2, then there is a zero between -1 and 1.

a)

TRUE

b)

FALSE

c)

CANNOT BE DETERMINED

18.

(x³-8x²+6x+41)÷(x-4)

a)

x²-4x-7, R 2

b)

x²-4x-11, R 1

c)

x²-2x-12, R 3

d)

x²-4x-10, R 1

19.

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

a)

2x² - x - 2

b)

2x³ - x² - 2x

c)

2x² + 15x + 54 + 208/x+4

d)

2x³ + 15x² + 54x + 208

20.

(3x³ + 5x - 1)
÷
(x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

21.

(2x³ - 5x - 7)
÷
(x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

22.

Is (x-4) a factor of (x³ +x² -16x-16)?

a)

YES

b)

NO

23.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

24.

What is the remainder when x⁴ - 5 is divided by x + 3?

a)

76

b)

81

c)

7

25.

If f(x) = 5x² ─ 7x ─10, find the value of f (5) using synthetic division.

a)

150

b)

80

c)

70

26.

Given P(x) = x³ + x² – x ─ 9, what is the value of P (4)?

a)

14

b)

-53

c)

67

27.

What is the end behavior as x → -∞ f(x)→ ?

a)

-∞

b)

∞

28.

By the Intermediate Value Theorem is it true that this polynomial has a real zero between the given integers.

f(x)=3x^3 -10x+9; between -3 and -2

a)

True! Because f(-3) = -42 and f(-2) = 5

b)

False! Because f(-3) = -3 and f(-2) = -2

c)

False! Because f(-3) and f(-2) are both positive

d)

True! Because f(-2) is negative and f(-3) is positive

Precalc Chapter 2 Quiz Review

Total questions: 28

Worksheet time: 2hrs 32mins

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