Free Printable Power Function Review Exit Ticket

1.

What is the end behavior of f(x) = 3x⁶ as x goes to negative infinity?

a)

positive infinity

b)

negative infinity

c)

zero

2.

Is the following function continuous?

f(x) = 4x^-5

a)

yes

b)

no

3.

The graph most accurately represents which of the following functions?

a)

y=∛x

b)

y = x²

c)

y =x³

d)

y = 1 ∕ x

4.

Which function increases throughout

the interval -2 < x < 2?

a)

b)

c)

d)

5.

Name the interval(s) where the function is decreasing? Click all that apply.

a)

-∞ < x < -1

b)

-1 < x < 1

c)

-2 < x < 2

d)

1 < x < ∞

6.

Is 5ab² a monomial?

a)

Yes

b)

No

7.

Is √x a monomial?

a)

Yes

b)

No

8.

Is 2⁷ a monomial?

a)

Yes

b)

No

9.

Is 5/k² a monomial?

a)

Yes

b)

No

10.

Which is most likely the function of the graph shown.

a)

f(x) = x^–1

b)

f(x) = ∛x

c)

f(x) = ln x

d)

f(x) = csc x

11.

What is the y-intercept of the following cubic function?

a)

(1, 0)

b)

(0, 2)

c)

(-1, 0)

d)

(2, 0)

12.

Which function matches the graph?

a)

$y=x^{\frac{1}{2}}$

b)

$y=x^{\frac{1}{3}}$

c)

$y=x^{\frac{2}{3}}$

13.

Which graph has a negative leading coefficient and an even positive degree?

a)

b)

c)

d)

14.

Which graph has a positive odd degree and a positive leading coefficient?

a)

b)

c)

d)

15.

Which of the following are Power Functions?

a)

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

b)

$f\left(x\right)=\frac{1}{x}$

c)

$f\left(x\right)=4^x$

d)

$f\left(x\right)=\sqrt{x}$

16.

Which of the following are power functions?

a)

$f\left(x\right)=\frac{5}{x^3}$

b)

$f\left(x\right)=3x^{-4}$

c)

$f\left(x\right)=\ln x$

d)

$f\left(x\right)=x^{\frac{2}{3}}$

17.

The function

f\left(x\right)=\left(2x^3\right)^3

is equivalent to

a)

$f\left(x\right)=6x^9$

b)

$f\left(x\right)=8x^9$

c)

$f\left(x\right)=8x^{27}$

d)

$f\left(x\right)=2x^9$

18.

a)

$y=x^2$

b)

$y=2^x$

c)

$y=\frac{1}{x}$

d)

$y=\frac{1}{x^2}$

19.

a)

$y=x^2$

b)

$y=x^3$

c)

$y=\frac{1}{x^2}$

d)

$y=\frac{1}{x}$

20.

Write the following quadratic expression in completed square form...

x² + 4x + 10

a)

(x + 4)² + 6

b)

(x + 2)² + 6

c)

(x + 4)² - 6

d)

(x + 2)² - 6

21.

Write the following quadratic expression in completed square form...

x² + 8x + 2

a)

(x + 4)² - 14

b)

(x + 4)² - 6

c)

(x + 4)² - 18

d)

(x + 4)² + 6

22.

Write the following quadratic expression in completed square form...

x² + 8x - 1

a)

(x + 4)² - 17

b)

(x + 4)² - 16

c)

(x + 4)² - 9

d)

(x + 4)² - 15

23.

Write the following quadratic expression in completed square form...

x² + 10x + 13

a)

(x + 5)² - 12

b)

(x + 5)² + 3

c)

(x + 5)² + 12

d)

(x + 5)² - 15

24.

Write the following quadratic expression in completed square form...

x² + 10x + 23

a)

(x + 5)² - 2

b)

(x + 5)² + 2

c)

(x + 5)² + 13

d)

(x + 5)² - 13

25.

Write the following quadratic expression in completed square form...

x² + 10x - 4

a)

(x + 5)² - 29

b)

(x + 5)² - 21

c)

(x + 5)² + 14

d)

(x + 5)² - 13

26.

Write the following quadratic expression in completed square form...

x² - 10x - 4

a)

(x - 5)² - 29

b)

(x - 5)² - 21

c)

(x + 5)² + 14

d)

(x + 5)² - 29

27.

Write the following quadratic expression in completed square form...

x² - 10x + 18

a)

(x - 5)² + 7

b)

(x - 5)² - 7

c)

(x + 5)² + 7

d)

(x + 5)² - 7

28.

Write the following quadratic expression in completed square form...

x² - 2x + 5

a)

(x - 1)² + 4

b)

(x - 1)² - 4

c)

(x - 1)² + 3

d)

(x - 1)² + 7

29.

Write the following quadratic expression in completed square form...

x² - 2x - 3

a)

(x - 1)² + 4

b)

(x - 1)² - 4

c)

(x - 1)² - 2

d)

(x - 1)² + 5

30.

Write the following quadratic expression in completed square form...

x² - 6x - 3

a)

(x - 3)² - 12

b)

(x - 3)² - 6

c)

(x - 3)² + 6

d)

(x - 3)² + 3

31.

Write the following quadratic expression in completed square form...

x² - 6x + 10

a)

(x - 3)² - 1

b)

(x - 3)² - 19

c)

(x - 3)² + 1

d)

(x - 3)² + 4

32.

Write the following quadratic expression in completed square form...

x² - 12x + 25

a)

(x - 6)² + 13

b)

(x - 6)² - 11

c)

(x - 6)² + 11

d)

(x + 6)² - 13

33.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

34.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

35.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

36.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

37.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

38.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

39.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

40.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

41.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

42.

(-7+6i)²

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

43.

4+5i+6+6i

a)

21i

b)

20i+36

c)

24+30i

d)

10+11i

44.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

45.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

46.

i⁷

a)

i

b)

-i

c)

1

d)

-1

47.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

48.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

49.

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

50.

Identify the vertex and whether the graph opens up or down.

a)

(-1, 4); opens up

b)

(-1, 4); opens down

c)

(1, 4); opens up

d)

(1, 4); opens down

51.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

52.

Which of the following best describes the correlation shown on the graph?

a)

negative correlation

b)

positive correlation

c)

no correlation

53.

Which of the following best describes the correlation shown on the graph?

a)

negative correlation

b)

positive correlation

c)

no correlation

54.

Which of the following best describes the correlation shown on the graph?

a)

negative correlation

b)

positive correlation

c)

no correlation

55.

Which correlation coefficient (r) best represents the graph?

a)

r = -0.95

b)

r = 0

c)

r = 0.85

d)

r = 1.1

56.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

57.

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

58.

Is this a perfect square trinomial?
x² + 18x + 9

a)

Yes

b)

No

59.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

60.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

61.

Factor the perfect square trinomial:
x² + 16x + 64

a)

(x+8)²

b)

(x-8)²

c)

(x-4)²

d)

(x+4)²

62.

How many countries are in Africa?

a)

54

b)

53

c)

42

d)

65

63.

Who painted the Mona Lisa?

a)

Leonardo da Vinci

b)

Vincent van Gogh

c)

Salvador Dalí

d)

Michelangelo

64.

Which planet is closest to the sun?

a)

Venus

b)

Earth

c)

Saturn

d)

Mercury

65.

What's a baby rabbit called?

a)

A kit

b)

A hare

c)

A calf

d)

A kid

Power Function Review Exit Ticket

Total questions: 65

Worksheet time: 2hrs 48mins

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