Topic 3 Linear Functions Review

A(n) ________ is an ordered list of numbers that often forms a pattern.

• sequence

• array

• collection

• group

Tags

CCSS.HSF.BF.A.2

Given the function f(x) = x, how does the addition or subtraction of a constant to the output affect the graph? f(x) = x - 2

• The graph shifts up by 2 units.

• The graph shifts down by 2 units.

• The graph shifts left by 2 units.

• The graph shifts right by 2 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Given the function f(x) = x, how does the addition or subtraction of a constant to the output affect the graph? f(x) = x + 5

• The graph shifts vertically.

• The graph shifts horizontally.

• The graph stretches vertically.

• The graph stretches horizontally.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Given f(x) = 4x - 5, describe how the graph of g compares with the graph of f. g(x) = 2(4x - 5)

• The graph of g is a vertical stretch of the graph of f by a factor of 2.

• The graph of g is a vertical compression of the graph of f by a factor of 2.

• The graph of g is a horizontal stretch of the graph of f by a factor of 2.

• The graph of g is a horizontal compression of the graph of f by a factor of 2.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

A hotel business center charges $40 per hour to rent a computer plus a $65 security deposit. The total rental charge is represented by f(x) = 40x + 65. How would the equation change if the business center increased the security deposit by $15?

• f(x) = 40x + 80

• f(x) = 40x + 65

• f(x) = 40x + 50

• f(x) = 40x + 100

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write a recursive formula for the arithmetic sequence. Sequence: 2, 6, 10, 14, 18,...

• a_n = a_{n-1} + 4, a_1 = 2

• a_n = a_{n-1} + 2, a_1 = 2

• a_n = a_{n-1} + 6, a_1 = 2

• a_n = a_{n-1} + 8, a_1 = 2

Tags

CCSS.HSF.BF.A.2

Write a recursive formula for the arithmetic sequence. Sequence: -5, -8.5, -12, -15.5, -19,...

• a(n) = a(n-1) - 3.5, a(1) = -5

• a(n) = a(n-1) + 3.5, a(1) = -5

• a(n) = a(n-1) - 4, a(1) = -5

• a(n) = a(n-1) + 4, a(1) = -5

Tags

CCSS.HSF.BF.A.2

Gabriela is selling friendship bracelets for a school fundraiser. After the first day, she has 234 bracelets left. After the second day, she has 222 left. Assuming the sales pattern continues and it is an arithmetic sequence, how many bracelets will Gabriela have left to sell after the fifth day?

• 198

• 210

• 204

• 216

Tags

CCSS.HSF.BF.A.2

An architect is designing an office building with n floors that will have an FM radio antenna 15.85 meters tall on its roof. Each floor of the building will be 3.9 meters high. Which function can be used to find the total height of the building in meters, including the FM antenna?

• h(n) = 15.85n + 3.9

• h(n) = 3.9n + 15.85

• h(n) = 3.9n - 15.85

• h(n) = 19.75n

Tags

CCSS.HSF-BF.A.1A

Which of the following is the correct graph characteristic of a linear function?

• Parabola

• Straight line

• Exponential curve

• Hyperbola

Tags

CCSS.HSF-IF.C.7A