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Precalc Chapter 2

Total questions: 24

Worksheet time: 12mins

Name
Class
Date
1.

A power function is a specific type of monomial function.

a)

True

b)

False

2.

Is this an example of an even or odd function?

a)

Even

b)

Odd

c)

Neither

3.

Is this an example of an even or odd function?

a)

Even

b)

Odd

c)

Neither

4.

let f be the power function f(x)=axnf\left(x\right)=ax^n where n is a positive integer.

What is n and a?

a)

n Even, a Positiven

b)

n Even, a Negative

c)

n Odd, a Postive

d)

n Odd, a Negative

5.

let f be the power function f(x)=axnf\left(x\right)=ax^n where n is a positive integer.

What is n and a?

a)

n Even, a Positiven

b)

n Even, a Negative

c)

n Odd, a Postive

d)

n Odd, a Negative

6.

let f be the power function f(x)=axnf\left(x\right)=ax^n where n is a positive integer.

What is n and a?

a)

n Even, a Positiven

b)

n Even, a Negative

c)

n Odd, a Postive

d)

n Odd, a Negative

7.

let f be the power function f(x)=axnf\left(x\right)=ax^n where n is a positive integer.

What is n and a?

a)

n Even, a Positiven

b)

n Even, a Negative

c)

n Odd, a Postive

d)

n Odd, a Negative

8.

let f be the radical function f(x)=nxf\left(x\right)=^n\sqrt{x}  where n is a positive integer. 

What is n?


a)

Even

b)

Odd

9.

let f be the radical function f(x)=nxf\left(x\right)=^n\sqrt{x} where n is a positive integer.

What is n?


a)

Even

b)

Odd

10.

What creates a polynomial function?

a)

The sum and difference of monomials is what creates a polynomial function

b)

The sum and difference of powers is what creates a polynomial function

c)

The sum and difference of exponents is what creates a polynomial function

11.

What are not examples of polynomial functions?

a)
b)
c)
d)
e)
12.

What are n and an?

a)

n Odd, an Positive

b)

n Odd, an Negative

c)

n Even, an Positive

d)

n Even, an Negative

13.

What are n and an?

a)

n Odd, an Positive

b)

n Odd, an Negative

c)

n Even, an Positive

d)

n Even, an Negative

14.

What are n and an?

a)

n Odd, an Positive

b)

n Odd, an Negative

c)

n Even, an Positive

d)

n Even, an Negative

15.

What are n and an?

a)

n Odd, an Positive

b)

n Odd, an Negative

c)

n Even, an Positive

d)

n Even, an Negative

16.

What is the most # of real zeros this equation will have?

 f(x)=3x610x415x2f\left(x\right)=3x^6-10x^4-15x^2  

a)

2

b)

3

c)

6

d)

4

17.

What is the most # of turning points this equation will have?

 f(x)=3x610x415x2f\left(x\right)=3x^6-10x^4-15x^2  

a)

3

b)

5

c)

10

d)

1

18.

Synthetic Division is

a)

when a polynomial is divided by one of its binomial factors x-c

b)

a shortcut for dividing a polynomial by a linear factor of the form x-c

c)

the sum and difference of monomials

19.

What is true about the Upper and Lower Bound Tests.

a)


If c0c\le0 and every number in the last line of the division is alternately nonnegative and nonpositive, then c is a lower bound for the real zeros if f

b)

If c\le0 and every number in the last line of the division is alternately nonnegative and nonpositive, then c is not a lower bound for the real zeros if f

c)

If c\ge0 and every number in the last line of the division is nonnegative, then c is not an upper bound for the real zeros of f

d)

If c\ge0 and every number in the last line of the division is nonnegative, then c is an upper bound for the real zeros of f

20.

What is the vertical asymptote of the graph?

a)

y=1

b)

x=1

c)

x=3

d)

y=3

21.

What is the horizontal asymptote of the graph?

a)

y=1

b)

x=1

c)

x=3

d)

y=3

22.

To solve for polynomial inequalities, find the zeros of the polynomial when they are ordered, these zeros divide the x-axis into intervals.

a)

True

b)

False

23.

why is a sign chart used to solve polynomial inequalities?

a)

to find the zeros

b)

to determine on which interval the function is positive or negative

c)

to find asymptotes

d)

to make a graph

24.

Put the steps in order on solving an equality using end behavior

A) Set up a sign chart

B) Determine zeros

C) Complete sign chart

D) Solve the inequality

E) Use leading coefficient

(put answer in capital letters with commas in between letters)

(a)