The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

After 4 weeks the plant is 5 inches tall

After 5 week the plant is 4 inches tall

The plant grows at a rate of 5/4 inch per week

The plant grows at a rate of 1 inch per week

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles. What does c(7) represent?

The minimum distance to ride a taxi

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

After 4 hours of work, Derek makes $37.

Derek needs $4 more to have $37 total.

After working for 4 days, Derek makes $37 total.

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?

After 8 days, Ms. Brackemyer has 52 pencils.

Ms. Brackemyer starts with 8 pencils and ends with 52.

Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

g(8)=28. This means that 8 packages of gum costs $28.

g(8)=8. This means that after 8 packages of gum, the company makes $8.

g(8)=42. This means that 8 packages of gum costs $42.

g(8)=24. This means that 8 packages of gum costs $24.

Does the graph represent a function?

No, because the vertical line test shows there are repeating input values

Yes, because the vertical line test shows there are no repeating input values

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,} R: {0, 1, 2, -4}

D:{0, 1, 2, 3, 4} R:{1, -3, -4}

What is the range of the following graph?

any real number greater than zero

What are all the x-intercepts?

(−3,0), (−2,0), (2,0), (3,0)

Yes; because it does pass the vertical line test.

No; because it does not pass the vertical line test.

No; because it's not in one straight line.

List the intercepts of the graph.

(2, 0), (1, 0) (−5, 0), (0, 2)

(2, 0), (0, 2), (0, 1), (0, −5)

(−2, 0), (1, 0), (5, 0), (0, 2)

(2, 0), (0, −2), (0, 1), (0, 5)

Which statement is true about this function?

The function is never decreasing

The function is always increasing

The function increases on the interval 11:00 < x < 15:00

Algebra of Functions

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

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84 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the domain of the graph?

1≤ x ≤ 4

1 < x < 4

1≤ y ≤ 4

1 < y < 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the range of the graph?

1 ≤ x ≤ 5

1 < x < 5

1 ≤ y ≤ 5

1 < y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Is this a function? Explain.

Yes; it passes the horizontal line test.

No; it is not a straight line.

Yes; it passes the vertical line test.

No; there is a line connecting the dots.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Function

Not a Function

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Function

Not a Function

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If h(a) = 3 - 2a
Find h(-3).

-2

-3

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = -4x - 10 and f(x) = 10. Find x

x = -5

x = 5

x = -50

x = 30

Tags

CCSS.HSF.IF.A.2

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Algebra of Functions

What is the domain of the graph?

What is the range of the graph?

Is this a function? Explain.

If h(a) = 3 - 2aFind h(-3).

Given f(x) = -4x - 10 and f(x) = 10. Find x

.

.

If f(x)=6x2-4,what is f(0)?

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Discover more resources for Mathematics

If h(a) = 3 - 2a
Find h(-3).

If f(x)=6x²-4,
what is f(0)?