Free Printable AAIG Formative 1 Aug24

1.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

2.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

3.

This graph represents which function?

a)

y = -2x

b)

y = 2x

c)

y = -2x + 1

d)

y = 2x - 1

4.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

5.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

6.

What is the range of the following relation:

M = (9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

{-4, 4, 8, 9}

b)

{-2, 3, 8, 10}

c)

{(9, -2) ( 4, 3)}

d)

{(8, 10) (-4, 8)}

7.

$Given\ the\ function\ y=\ 3x^2-4x+1.\ Calculate\ the\ value\ of\ y\ when\ x=-1.$

a)

2

b)

4

c)

6

d)

8

8.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

9.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

10.

Given $f\left(x\right)$ , graph $f\left(x\right)+2$

11.

Given $f\left(x\right)$ , graph $f\left(x-3\right)$

12.

Given $f\left(x\right)$ , graph $-f\left(x\right)$

13.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

14.

Select the correct intercepts for the graph. Select all that apply.

a)

x-intercept: (3, 0)

b)

x-intercept: (-2, 0)

c)

y-intercept: (0, 3)

d)

y-intercept: (0, -2)

15.

Select where the graph is positive and negative. Select all that apply.

a)

positive where

x < 3

b)

positive where

x > 3

c)

negative where

x < 3

d)

negative where

x > 3

16.

Where is the graph positive? Select the correct answer.

a)

x < 5

b)

-1 < x < 5

c)

x > -1

d)

x > 5 and x < -1

17.

Where is the graph negative? Select the correct answer.

a)

x < 5

b)

-1 < x < 5

c)

x > -1

d)

x > 5 and x < -1

18.

Fill in the blank to describe the line symmetry of the graph. The graph is symmetrical in the line

x = _.

(a)

19.

Describe where the graph is decreasing. Select the correct answer.

a)

where x > -2.5

b)

where x < -2.5

c)

where x > -1.5

d)

where x < -1.5

20.

Which is a possible equation of this graph?

a)

y = x^-2

b)

y = 2^-x

c)

y = -x^-2

d)

y = -3^x

21.

Which is a possible equation of this graph?

a)

y = kx

b)

y = k

c)

x = k

d)

y = 0

22.

Which is a possible equation of this graph?

a)

y = 2x

b)

y = -3x

c)

y = 2

d)

y = -3

23.

Which is a possible equation of this graph?

a)

y = x^2

b)

y = 2^x

c)

y = x^3

d)

y = x^-2

24.

Which is a possible equation of this graph?

a)

y = 4x^-2

b)

y = 3x^2

c)

y = -2x^2

d)

y = -3x^-2

25.

Which is a possible equation of this graph?

a)

y = 3x

b)

y = 2x^-1

c)

y = -2x^-2

d)

y = -3x^2

26.

Which is a possible equation of this graph?

a)

y = -2x^2

b)

y = 3x^2

c)

y = 3x

d)

y = 3x^3

27.

4. What is the name of the shape of the given graph?

a)

superbola

b)

curve

c)

parabola

d)

hyperbola

28.

For a quadratic graph $y=ax^2+bx+c$ , what's the graph looks like if $a>0$ ?

a)

b)

29.

For a quadratic graph $y=ax^2+bx+c$ , what's the graph looks like if $a<0$ ?

a)

b)

30.

For a reciprocal graph $y=\frac{a}{x}$ , what's the graph looks like if $a>0$ ?

a)

b)

31.

For a reciprocal graph $y=\frac{a}{x}$ , what's the graph looks like if $a<0$ ?

a)

b)

32.

Does the graph represent growth, decay, linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

33.

Given the equation below determine the y-intercept.

y=3^x

a)

(0, 1)

b)

(0, 3)

c)

x= 0

d)

y = 0

34.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

35.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

36.

What is the x-intercept in this graph? SELECT ALL IF MORE THAN 1!

a)

(0, 3)

b)

(3, 0)

c)

It does not have one.

d)

(0, 0)

37.

The x-axis is ____________.

a)

vertical

b)

horizontal

c)

where the spot is marked on the treasure map

d)

a mystery

38.

The y-axis is ____________.

a)

vertical

b)

horizontal

c)

where the spot is marked on the treasure map

d)

a mystery

39.

What is the y-intercept in this graph? SELECT ALL IF MORE THAN 1!

a)

(0, -2)

b)

(2, 0)

c)

It does not have one.

d)

(-1, 0)

40.

What is the x-intercept in this graph? SELECT ALL IF MORE THAN 1!

a)

(0, -2)

b)

(2, 0)

c)

It does not have one.

d)

(-1, 0)

41.

What is the y-intercept in this graph?

a)

(0, -4)

b)

(-4, 0)

c)

(-4, -4)

d)

It does not have one.

42.

What is the x-intercept in this graph?

a)

(0, -2)

b)

(-2, 0)

c)

(-2, -2)

d)

It does not have one.

43.

What is the x-intercept in this graph?

a)

(0, 2)

b)

(2, 0)

c)

(0, -4)

d)

(-4, 0)

44.

What is the y-intercept in this graph?

a)

(0, 2)

b)

(2, 0)

c)

(0, -4)

d)

(-4, 0)

45.

What is the y-intercept in this graph?

a)

(0, 5)

b)

(5, 0)

c)

(0, 4)

d)

(4, 0)

46.

Which of the following is an x-intercept?

a)

(0, 3)

b)

(3, 0)

47.

What is the x-intercept of a graph?

a)

The x-intercept of a graph is the point where the graph intersects the y-axis.

b)

The x-intercept of a graph is the point where the graph intersects the x-axis.

c)

The x-intercept of a graph is the highest point on the graph.

d)

The x-intercept of a graph is the point where the graph intersects the z-axis.

48.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

49.

What is the y-intercept?

a)

(0,0)

b)

(0,1)

c)

(-3,0)

d)

(0,-3)

50.

What is the asymptote of y = 2^x ?

a)

y = 0

b)

x = 0

51.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

52.

Which exponential equation could represent the graph shown?

a)

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

b)

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

c)

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

d)

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

53.

Which graph shows a reflection of

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

over the x-axis?

a)

b)

54.

Describe domain of the function shown: y=log₂(x+1)

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

55.

Logarithms and Exponentials are what?

a)

parallel

b)

perpendiular

c)

inverses

d)

congurent

56.

What is the asymptote of y = 2^(x-3) ?

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

57.

What is the correct transformed equation for the graph?

a)

y = log(x - 4)

b)

y = log(x) - 4

c)

y = log(x + 4)

d)

y = log(x) + 4

58.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

59.

What kind of asymptotes do logs have?

a)

horizontal ( y=0)

b)

vertical (x=0)

60.

What is the vertical asymptote?

a)

x =-3

b)

y = -3

c)

x = 3

d)

y = 3

61.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

62.

Which graph matches the function?

a)

A

b)

B

c)

C

d)

D

63.

Which graph matches the function?

a)

A

b)

B

c)

C

d)

D

64.

Which graph matches the function?

a)

A

b)

B

c)

C

d)

D

65.

What is the interval of increasing/decreasing?

a)

Increasing : (-infinity, 1) Decreasing (1, infinity)

b)

Decreasing : (-infinity, 1) (1, infinity)

c)

Increasing (-infinity, -4) Decreasing (-4, infinity)

d)

Decreasing (-infinity, -4) (-4, infinity)

66.

Match the name of the function to the graph

a)

1.

Third Degree Polynomial

b)

2.

Absolute Value

Function

c)

3.

Quadratic Function

d)

4.

Rational Function

67.

Label the graph

a)

origin

b)

Vertical Asymptote

c)

Horizontal Asymptote

d)

y-intercept

e)

x-axis

1

2

3

4

5

1)

2)

3)

4)

5)

68.

This rational function is undefined at...

a)

x = 4

b)

x = -4

c)

x = 0

d)

x = 5

69.

What is the vertical asymptote?

a)

x = 2

b)

y = 2

c)

x = 1

d)

y = 1

70.

What is the horizontal asymptote?

(a)

Choose from the below words

x = 2

y = 2

x =-2

y=-2

71.

What are the asymptotes?

a)

x = -3 y = 1

b)

x = 3 y = 1

c)

x = -3 y = -1

d)

x = 3 y = -1

72.

Where are the asymptotes in this graph.

a)

x=0

b)

y=0

c)

x=0, y=0

d)

0,0

73.

Which of the following is a RATIONAL FUNCTION?

a)

b)

c)

d)

AAIG Formative 1 Aug24

Total questions: 73

Worksheet time: 2hrs 47mins

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