Topic 3 Study Guide

Which relation is not a function?

• (7, 3), (7, 6), (7, 9), (7, 12), (7, 15)

• (−4, 6), (0, 6), (7, 6), (4, 6), (−7, 6)

• (4, 1), (8, 2), (12, 3), (16, 4), (20, 4)

• (1, 3), (3, 5), (5, 7), (7, 9), (9, 1)

Lee has 3 dog walking customers. Each month he gains another customer. Which arithmetic sequence represents the number

of customers he has?

• a₁ = 1; a_n = a_{n – 1} + 3

• a₁ = 3; a_n = a_{n – 1} + 1

• a₁ = 3; a_n = a_{n + 1} + 1

• a₁ = 1; a_n = a_{n + 1} + 3

For f(x) = -x + 8, which statement

is true?

• f(x + k) = f(x) + k

• f(x - k) = f(x) - k

• f(x + k) = f(x) + f(k)

• f(x - k) = f(x) + k

Sasha sells T-shirts. Each day

she earns a set amount, plus a

commission. Which is a reasonable domain for

the function?

• 0 < x < 3

• 0 < x < 50

• 68 < x < 80

• all real numbers

What is the best description of the relation?

• a function that is one-to-one

• a function that is many-to-one

• a function that is one-to-many

• a relation that is not a function

On Saturdays, Eve does yard work for an hourly rate and earns a fixed amount for dog walking. Choose the linear function f Eve can use to determine her pay.

• f(x) = x + 14

• f(x) = 12x + 16

• f(x) = 12x + 14

• f(x) = 14x + 12

The graph of g is the graph of f translated horizontally 4 units to the right. If f(x) = 5x – 2 what is the equation for the function g?

• g(x) = 5(x + 4) – 2

• g(x) = 5x – 2 – 4

• g(x) = 5(x – 4) – 2

• g(x) = 4(5x – 2)