Topic 3 Test Practice: Linear Functions

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)

Identify the domain of the relation.

• {1, 2, 3, 4}

• {a, b, c, d}

• [1, 4]

• [a, d]

Identify the range of the relation.

• {1, 2, 3, 4}

• {a, b, c, d}

• [1, 4]

• [a, d]

What is the best description of the relation?

• a function that is one-to-one

• a function that is one-to-many

• a function that is many-to-one

• a relation that is not a function

Sasha sells T-shirts. Each day
she earns a set amount, plus a
commission. Write a linear function
f to determine Sasha’s pay.

• y = 3x + 65

• y = 3x + 68

• y = -1/3x + 65

• y = 1/3x + 68

Which is a reasonable domain for
the function?

• 0 <x < 3

• 0 <x < 5

• 0 <x < 68

• all real numbers

Assume Sasha sells
24 T-shirts in one day. How
much would she earn that day?

Hint: Find f(24).

• $36

• $72

• $101

• $137

Given f(x) = 4x − 6 and g(x) = f(2x),
write an equation for g.

• g(x) = 8x - 6

• g(x) = 8x - 12

• g(x) = 4x-12

• g(x) = 6x - 6

Given g(x) = kf(x), identify a value
of k that transforms f into g.

Hint: k is the value being multiplied to change the slope of the line.

• k = 3

• k = -3

• k = 6

• k = 1/3

Describe the transformation shown below:

     g(x) = f(x) – 3

• a vertical shift 3 units down

• a horizontal shift 3 units left

• a vertical shift 3 units up

• a reflection across the point (0, 3)

• a vertical compression by a scale factor of 3