Deck 1: Functions and Their Graphs

Question 1

Graph the function.

A)
B)
C)
D)

Answer 1

Question 2

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)

Answer 2

M (7, 4)

Question 3

Tell where the function is increasing.

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

Answer 3

Question 4

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

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

Question 5

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

A)
B)
C)
D)

Question 6

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

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

Question 7

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

A)
B)
C)
D)
E)

Question 8

Graph the piecewise-defined function.

A)
B)
C)
D)

Question 9

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 10

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 11

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

A)
B)
C)
D)

Question 12

Find the distance between the two points and .

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

Question 13

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 14

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

A)
B)
C)
D)
E)

Question 15

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 16

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

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

Question 17

Which graph represents the function? g(x) =

A)
B)
C)
D)
E)

Question 18

Find the graph of the equation.

A)
B)
C)
D)

Question 19

Find the slope of the line.

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

Question 20

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 21

Which graph represents the function? g(x) =

A)
B)
C)
D)
E)

Question 22

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

A)
B)
C)
D)

Question 23

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 24

Graph the piecewise-defined function.

A)
B)
C)
D)

Question 25

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

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

Question 26

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

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

Question 27

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

A)
B)
C)
D)
E)

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

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

A)
B)
C)
D)
E)

Question 30

Determine whether the function is one-to-one.

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

Question 31

Graph the function.

A)
B)
C)
D)

Question 32

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 33

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 34

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

A)
B)
C)
D)

Question 35

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 36

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 37

Find the graph of the equation.

A)
B)
C)
D)

Question 38

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

A)
B)
C)
D)
E)

Question 39

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 40

Tell where the function is increasing.

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

Question 41

Find the graph of the equation.

A)
B)
C)
D)

Question 42

Find the distance between the two points and .

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

Question 43

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 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

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 46

Find the slope of the line determined by the equation.

A)
B)
C)
D)
E)

Question 47

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

A)
B)
C)
D)

Question 48

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

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

Question 49

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

A)
B)
C)
D)
E)

Question 50

Find the slope of the line.

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

Question 51

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

A)
B)
C)
D)
E)

Question 52

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

A)
B)
C)
D)

Question 53

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

A)
B)
C)
D)
E)

Question 54

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 55

Determine whether the function is one-to-one.

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

Question 56

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

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

Question 57

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

A)
B)
C)
D)
E)

Question 58

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

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

Question 59

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

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

Question 60

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 61

Graph the piecewise-defined function.

A)
B)
C)
D)

Question 62

Find the distance between the two points and .

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

Question 63

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

A)
B)
C)
D)
E)

Question 64

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

A)
B)
C)
D)
E)

Question 65

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

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

Question 66

Find the slope of the line.

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

Question 67

Find the midpoint between the two points and .

A)
B)
C)
D)
E)

Question 68

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 69

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 70

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

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

Question 71

Determine whether the function is one-to-one.

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

Question 72

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 73

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

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

Question 74

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

A)
B)
C)
D)
E)

Question 75

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 76

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 77

Graph the function.

A)
B)
C)
D)

Question 78

Tell where the function is decreasing.

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

Question 79

Which graph represents the function? g(x) =

A)
B)
C)
D)
E)

Question 80

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

A)
B)
C)
D)
E)