Deck 1: Functions and Their Graphs

Question 1

Find the graph of the equation. f (x) = | x - 4 |

A)
B)
C)
D)

Answer 1

Question 2

Tell where the function is increasing.

A)
B)always constant
C)always increasing
D)always decreasing
E)

Answer 2

Question 3

Find the graph of the equation.

A)
B)
C)
D)

Answer 3

Question 4

Find the slope of the line passing through the pair of points: P (-19,-5); Q (-9,6)

A)
B)
C)
D)
E)

Question 5

Find the slope of the line through P(-1,4) and Q(-5,0).

A)m = 0
B)m = 2
C)m = 3
D)m = 1
E)m = -1

Question 6

Graph the function.

A)
B)
C)
D)

Question 7

Evaluate the difference quotient for the function. f (x) = 2x - 3

A)2
B)2x + 3
C)3
D)-3
E)

Question 8

Find the midpoint of the line segment PQ. P(10, 1), Q(4, 7)

A)M (7, 4)
B)M (7, 3)
C)M (9, 4)
D)M (1, 0)
E)M (12, 7)

Question 9

Let . Find the composite function which expresses the given correspondence correctly.

A)
B)
C)
D)
E)none of the above

Question 10

Which graph represents the function? g(x) =

A)
B)
C)
D)
E)

Question 11

Find the slope of the line.

A)m = 15
B)m = 22
C)m = 19
D)m = 18
E)m = -18

Question 12

Graph the piecewise-defined function.

A)
B)
C)
D)

Question 13

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 14

Find the distance between the two points and .

A)68
B)65
C)133
D)136
E)204

Question 15

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 16

Write the equation of the line that passes through the point P (1, 4) and is perpendicular to the line y = - 4x + 18.

A)
B)
C)
D)
E)

Question 17

Find the slope of the line passing through the pair of points.

A)m = 7
B)m = 2
C)m = 1
D)m = -1
E)none of these

Question 18

Let f (x) = 2x - 1, g(x) = 3x - 2. Find the domain of the function.

A)
B)
C)
D)
E)

Question 19

Let f (x) = 2x + 1, g(x) = 3x - 2. Find the function.

A)
B)
C)
D)
E)none of the above

Question 20

Draw the line using the slope and y-intercept. y + 2 = 3x

A)
B)
C)
D)

Question 21

Determine whether the function is one-to-one.

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Question 22

Write the equation of the line that passes through the point P (4, 4) and is perpendicular to the line y = - 4x + 13.

A)
B)
C)
D)
E)

Question 23

Find the slope of the line passing through the pair of points: P (-1,12); Q (9,3)

A)
B)
C)
D)
E)

Question 24

The function is one-to-one on the domain . Find .

A)
B)
C)
D)
E)

Question 25

Find the graph of the equation. f (x) = | x - 2 |

A)
B)
C)
D)

Question 26

Find the graph of the equation.

A)
B)
C)
D)

Question 27

Determine whether the function is one-to- one. y = 5x

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Question 28

Find the slope of the line.

A)m = 17
B)m = -17
C)m = 14
D)m = 18
E)m = 21

Question 29

Tell where the function is increasing.

A)always decreasing
B)
C)always constant
D)
E)always increasing

Question 30

Find the slope of the line passing through the pair of points.

A)m = 14
B)m = -1
C)m = 1
D)m = 2
E)none of these

Question 31

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 32

Evaluate the difference quotient for the function. f (x) = 4x - 7

A)-7
B)7
C)
D)4
E)4x + 7

Question 33

Find the inverse of the one-to-one function. y = 5x + 2

A)
B)
C)
D)
E)none of the above

Question 34

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 35

Which graph represents the function? g(x) =

A)
B)
C)
D)
E)

Question 36

Find the inverse of the one-to-one function. y = 7x

A)
B)
C)
D)
E)

Question 37

Graph the function.

A)
B)
C)
D)

Question 38

Draw the line using the slope and y-intercept. y + 3 = 3x

A)
B)
C)
D)

Question 39

Graph the piecewise-defined function.

A)
B)
C)
D)

Question 40

Find the slope of the line through P(2,7) and Q(9,63).

A)m = 9
B)m = 8
C)m = 10
D)m = 7
E)m = 6

Question 41

Let f (x) = 2x - 1, g(x) = 3x - 2. Find the domain of the function.

A)
B)
C)
D)
E)

Question 42

Find the graph of the equation.

A)
B)
C)
D)

Question 43

Find the slope of the line passing through the pair of points: P (-1,-18); Q (13,16)

A)
B)
C)
D)
E)

Question 44

Find the midpoint of the line segment PQ. P(4, 7), Q(6, 7)

A)M (5, 6)
B)M (1, 0)
C)M (7, 7)
D)M (10, 10)
E)M (5, 7)

Question 45

Find the inverse of the one-to-one function. y = 4x + 8

A)
B)
C)
D)
E)none of the above

Question 46

The function is one-to-one on the domain . Find .

A)
B)
C)
D)
E)

Question 47

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 48

Determine whether the function is one-to-one.

A)Yes, it is one-to-one.
B)No, it isn't one-to-one.

Question 49

Find the slope of the line through P(-9,1) and Q(-3,-11).

A)m = -1
B)m = -2
C)m = -4
D)m = -3
E)m = 0

Question 50

Write the equation of the line that passes through the point P (3, 4) and is perpendicular to the line y = - 5x + 8.

A)
B)
C)
D)
E)

Question 51

Evaluate the difference quotient for the function. f (x) = 2x - 9

A)-9
B)
C)9
D)2x + 9
E)2

Question 52

Find the slope of the line.

A)m = -8
B)m = 9
C)m = 12
D)m = 8
E)m = 5

Question 53

Find the inverse of the one-to-one function. y = 8x

A)
B)
C)
D)
E)

Question 54

Let f (x) = 2x + 1, g(x) = 3x - 2. Find the function.

A)
B)
C)
D)
E)none of the above

Question 55

Find the distance between the two points and .

A)17
B)10
C)20
D)7
E)30

Question 56

Find the graph of the equation. f (x) = | x - 4 |

A)
B)
C)
D)

Question 57

Let . Find the composite function which expresses the given correspondence correctly.

A)
B)
C)
D)
E)none of the above

Question 58

Draw the line using the slope and y-intercept. y + 2 = 3x

A)
B)
C)
D)

Question 59

Find the slope of the line passing through the pair of points.

A)m = 5
B)m = 1
C)m = 2
D)m = -1
E)none of these

Question 60

Determine whether the function is one-to- one. y = 6x

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Question 61

Let f (x) = 2x + 1, g(x) = 3x - 2. Find the function.

A)
B)
C)
D)
E)none of the above

Question 62

Graph the piecewise-defined function.

A)
B)
C)
D)

Question 63

Determine whether the function is one-to-one.

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Question 64

Find the slope of the line.

A)m = -8
B)m = 9
C)m = 12
D)m = 8
E)m = 5

Question 65

Graph the function.

A)
B)
C)
D)

Question 66

Find the slope of the line passing through the pair of points: P (-1,-18); Q (13,16)

A)
B)
C)
D)
E)

Question 67

Find the midpoint of the line segment PQ. P(4, 5), Q(2, 1)

A)M (8, 6)
B)M (3, 2)
C)M (1, 0)
D)M (5, 3)
E)M (3, 3)

Question 68

Find the slope of the line passing through the pair of points.

A)m = 5
B)m = 1
C)m = 2
D)m = -1
E)none of these

Question 69

Find the inverse of the one-to-one function. y = 9x

A)
B)
C)
D)
E)

Question 70

Find the slope of the line through P(5,7) and Q(-1,7).

A)m = 3
B)m = -5
C)m = 6
D)m = 0
E)m = 1

Question 71

Determine whether the function is one-to- one. y = 3x

A)No, it isn't one-to-one.
B)Yes, it is one-to-one.

Question 72

Let f (x) = 2x - 1, g(x) = 3x - 2. Find the domain of the function.

A)
B)
C)
D)
E)

Question 73

Find the distance between the two points and .

A)102
B)51
C)48
D)153
E)99

Question 74

Tell where the function is decreasing.

A)always increasing
B)always decreasing
C)
D)always constant
E)

Question 75

Find the inverse of the one-to-one function. y = 5x + 8

A)
B)
C)
D)
E)none of the above

Question 76

The function is one-to-one on the domain . Find .

A)
B)
C)
D)
E)

Question 77

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 78

Find the slope of the line through P(-8,-8) and Q(9,77).

A)m = 3
B)m = 6
C)m = 5
D)m = 7
E)m = 4

Question 79

Which graph represents the function? g(x) =

A)
B)
C)
D)
E)

Question 80

Let . Find the composite function which expresses the given correspondence correctly.

A)
B)
C)
D)
E)none of the above