Free Printable Fall PreCal 2020

1.

Given the function f(x), what does f(-1) + f(1) = ?

a)

6

b)

8

c)

0

d)

None of these

2.

Which of these values is NOT part of the domain of g(x)?

a)

-31

b)

-2

c)

1

d)

31

3.

log₅25 = ?

a)

2

b)

5

c)

125

4.

Expand

a)

log₃9 - (log₃x + log₃y)

b)

log₃9 + log₃x + log₃y

c)

9 - log₃x + log₃y

d)

9 - log₃x - log₃y

5.

At how many points does f(x) = -2?

a)

1

b)

2

c)

4

d)

Not enough information to decide

6.

Identify the decreasing interval:

a)

(-∞, 1) U (3, ∞)

b)

(1, 3)

c)

(-∞, 1) U (0, ∞)

d)

(1,4) U (3,0)

7.

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

a)

x = -3

b)

x = 3

c)

x = 0

d)

cannot be determined

8.

Polynomial function f(x) = x⁴ - 4x³ + 5x² - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?

a)

yes

b)

no

9.

(x - 2) divides polynomial function
f(x) = x⁴ - 4x³ + 5x² - 4x + 4 two times. What numbers should be used to set up the second synthetic division if the goal is to factor f(x)?

a)

1 -4 5 -4 4

b)

1 -2 1 -2

c)

2 -4 2 -4

d)

cannot be determined

10.

This is the correct end behavior model for the function
y = (x - 2)²(x² + 1)

a)

true

b)

false

11.

This is the correct end behavior model for the function
y = -2 (x - 2)³(x² + 1)

a)

true

b)

false

12.

What value(s) make the expression undefined?

\frac{x-5}{\left(x+3\right)\left(x-4\right)}

a)

x = - 3 and x = 4

b)

x = 5, x = -3 and x = 4

c)

x = 5 only

d)

x = 3 and x = -4

13.

9^x=3^x-6

a)

x=5

b)

x=-6

c)

x=0

d)

x=Does Not Exist

14.

log(9x-2)=log(x+14)

a)

x=2

b)

x=.156

c)

x=-3

d)

x=0

15.

Solve log(x) + log(x+3) = 1

a)

5

b)

-2

c)

-5

d)

2

16.

Where is g(x) ≤ 0?

a)

(-1,1)

b)

[-1,1]

c)

(-2,1]

d)

(−∞,∞)

17.

Evaluate the expression.

|3 – 5| + 8

a)

6

b)

10

c)

-13

d)

-3

18.

Find the Domain of the function.
$f\left(x\right)=\sqrt{x-3}$

a)

$x\ =3$

b)

$x>-3$

c)

$x\ge3$

d)

$x\ne3$

19.

Where is this function undefined?

a)

a = 0

b)

a = 10

c)

a = 1

d)

a = -1

20.

Using the graph, what is g( f(2) )

a)

0

b)

-1

c)

-2

d)

-3

21.

Find $f\left(g\left(-1\right)\right)$

a)

-7

b)

-4

c)

0

d)

2

22.

Which of the following is NOT TRUE about inverse functions?

a)

Inverse functions are reflections of each other over the line y = x.

b)

You find the inverse by switching x and y in the equation.

c)

The domain of a function always becomes the domain of its inverse.

d)

The domain of a function always becomes the range of its inverse.

23.

What are the missing values if g(x)=f^-1(x)?

a)

(9,-5)

b)

(-9,-5)

c)

(5,9)

d)

(-9,5)

24.

Which is f ^-1(x), the inverse of f(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

25.

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

a)

28+34+40+46+52+88

b)

11(28+88)

c)

\frac{11}{2}\left(28+88\right)

d)

none of these

26.

What is the 50th term, a₅₀, of the sequence 2 , 17 , 32 ,..., a₅₀

a)

15(50)

b)

2 + 15(50)

c)

2 + 49(15)

27.

Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$

a)

$\frac{8}{1-\frac{1}{5}}$

b)

$\frac{8}{\frac{4}{5}}$

c)

10

d)

all of these are the same and equal the sum

28.

Determine whether the sequence is convergent or divergent:

\sum_{n=1}^{\infty}\frac{1}{3}\left(2\right)^n

a)

Convergent, r = ⅓

b)

29.

$\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}$ Find the sum of the series if it exists.

a)

4/5

b)

5

c)

6.5

d)

Does not exist

30.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

31.

Rewrite log_b(xⁿ)

a)

nlog_bx

b)

(log_bx)ⁿ

c)

xⁿlog_bx

d)

log_b(xⁿ)

32.

$\log\left(\frac{m^3}{n}\right)$

a)

logm-log3-logn

b)

3logm+logn

c)

3logm-logn

d)

3log(m-n)

33.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

b)

x → ∞, y→ ∞ and
x→⁻∞, y→∞

c)

None of these

d)

x →∞,y→⁻∞ and
x→∞, y→⁻∞

34.

Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive

Degree - Even

b)

Leading Coefficient Positive

Degree - Odd

c)

Leading Coefficient Negative

Degree - Even

d)

Leading Coefficient Negative

Degree - Odd

35.

Using the graph, what is g(g(-1))

a)

0

b)

-1

c)

-2

d)

-3

36.

Find the Domain of the function.
$f\left(x\right)=\frac{4}{\sqrt{x-3}}$

a)

$x\ =3$

b)

$x>3$

c)

$x\ge3$

d)

$x\ne3$

Fall PreCal 2020

Total questions: 36

Worksheet time: 1hrs 3mins

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