Question 1

What is the horizontal asymptote of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 2

What is the period of the trigonometric function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 3

Which function represents exponential growth?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 4

What is the value of the trigonometric identity

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

1

Answer

y = \frac{5}{2}

Answer

0

Answer

y = \frac{5}{2}

Question 5

Which of the following functions is a polynomial function?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 6

What is the degree of the polynomial

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

5

Answer

4

Answer

6

Answer

3

Question 7

Which of the following expressions is not a polynomial?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 8

Which of the following is a factor of the polynomial

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 9

What is the remainder when the polynomial

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

is divided by

x - 2

?

Accepted Answer

7

Answer

2

Answer

-6

Answer

1

Question 10

Which of the following is a correct simplification of the expression

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 11

What is the identity for the double angle formula of cosine, cos(2x)?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 12

Which of the following represents the identity for sin(2x)?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 13

What is the simplified form of

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

using logarithm laws?

Accepted Answer

5

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 14

Which of the following demonstrates the change of base formula for logarithms?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 15

Which expression is equivalent to

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

using logarithm laws?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 16

Which of the following is an equivalent expression for

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

using logarithm laws?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 17

Which of the following expressions is simplified using the quotient rule of logarithms?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 18

Which of the following is true according to the logarithm product rule?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 19

Which of the following represents the power rule of logarithms?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 20

If

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

, what is the value of

x - 2

?

Accepted Answer

100

Answer

20

Answer

50

Answer

10

Question 21

Solve for

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

:

x - 2

Accepted Answer

12

Answer

11

Answer

13

Answer

10

Question 22

Solve for

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

:

x - 2

Accepted Answer

9

Answer

8

Answer

10

Answer

7

Question 23

What is the value of

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

if

x - 2

?

Accepted Answer

20

Answer

25

Answer

15

Answer

50

Question 24

If

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

, what is the value of

x - 2

?

Accepted Answer

24/3

Answer

4

Answer

25/2

Answer

23/4

Question 25

Which of the following is a solution to the equation

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

for

x - 2

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 26

Solve the following equation:

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

for

x - 2

.

Accepted Answer

No solution

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 27

Solve the equation

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

for

x - 2

.

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 28

Given the functions

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

and

x - 2

, what is

(m \, \circ \, n)(x)

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 29

Given

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

and

x - 2

, what is

(m \, \circ \, n)(x)

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 30

If

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

and

x - 2

, what is

(m \, \circ \, n)(x)

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 31

If

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

(also written as

x - 2

) and

(m \, \circ \, n)(x)

, what is

(f \circ g)(4)

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 32

Which transformation of the sine function describes the graph of

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

Vertical stretch by a factor of 3

Answer

Vertical shift up by 3 units

Answer

Reflection over the x-axis

Answer

Horizontal stretch by a factor of 3

Question 33

For the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

, what is the phase shift?

Accepted Answer

y = \frac{5}{2}

to the left

Answer

y = \frac{5}{2}

to the right

Answer

y = \frac{5}{2}

to the left

Answer

y = \frac{5}{2}

to the right

Question 34

What is the phase shift of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

compared to

x - 2

?

Accepted Answer

y = \frac{5}{2}

to the left

Answer

y = \frac{5}{2}

to the right

Answer

y = \frac{5}{2}

to the right

Answer

y = \frac{5}{2}

to the left

Question 35

What is the range of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

[-3, 1]

Answer

[-1, 1]

Answer

[-2, 2]

Answer

[0, 3]

Question 36

Which of the following describes the graph of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

It is an exponential curve that passes through the point (0,1) and has a horizontal asymptote at y=0.

Answer

It is a parabolic curve opening upwards, passing through the origin.

Answer

It is a straight line with a slope of 1 passing through the point (0,0).

Answer

It is a cubic curve passing through the points (-1,0), (0,1), and (1,2).

Question 37

Which of the following describes the vertical asymptote of the rational function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

x = 3

Answer

y = -3

Answer

x = -2

Answer

y = 3

Question 38

What is the horizontal asymptote of the rational function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = 2

Answer

y = 3

Answer

y = 0

Answer

y = 1

Question 39

What is the slant (oblique) asymptote of the rational function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = x + 3

Answer

y = 2x + 1

Answer

y = x - 1

Answer

y = x + 1

Question 40

What is the domain of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

All real numbers

Answer

x ≤ 1

Answer

x ≠ 0

Answer

x > 0

Question 41

What is the domain of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

x > 2

Answer

All real numbers

Answer

x ≥ 2

Answer

x = 2

Question 42

What is the domain of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

-1 < x < 1

Answer

x 
eq 0

Answer

x < -1, x > 1

Answer

x \leq 1, x \geq -1

Question 43

What is the domain of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

x < 1, x > 3

Answer

x > 0

Answer

x 
eq 1, x 
eq 3

Answer

x > 1

Question 44

What is the domain of the function

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

x > 1, x 
eq -2

Answer

x > 1

Answer

x > -2

Answer

x \geq 1

Question 45

What is the inverse function of

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Question 46

If

f(x) = \frac{5x^2 + 3x + 2}{2x^2 + x + 4}

, what is the inverse function

x - 2

?

Accepted Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Answer

y = \frac{5}{2}

Related quizzes

Related quizzes