Using the graph, find the x and y intercepts.

x-intercept: $$-4$$ y-intercept: $$2$$

x-intercept: $$-4$$ y-intercept: $$-2$$

x-intercept: $$4$$ y-intercept: $$2$$

x-intercept: $$2$$ y-intercept: $$-4$$

Clayton has 65 stamps in her collection. To expand the collection, he is planning to buy some books of stamps that have 16 stamps each. All of the books cost the same. Clayton is not sure yet about the number of books of stamps he wants to buy, but he has enough money to buy up to 5 of them. Write a function to describe how many stamps Clayton can buy. Let x represents the number of books of stamps Clayton buys. Find a reasonable domain and range for the function.

$$f\left(x\right)=16x+65$$ D: $$\left\{0,\ 1,\ 2,\ 3,\ 4,\ 5\right\}$$ R: $$\left\{65,\ 81,\ 97,\ 113,\ 129,\ 145\right\}$$

$$f\left(x\right)=16x+65$$ D: $$\left\{0,\ 1,\ 2,\ 3,\ 4\right\}$$ R: $$\left\{65,\ 81,\ 97,\ 113,\ 129\right\}$$

$$f\left(x\right)=65x+16$$ D: $$\left\{5\right\}$$ R: $$\left\{145\right\}$$

$$f\left(x\right)=65x+16$$ D: $$\left\{0,\ 1,\ 2,\ 3,\ 4\right\}$$ R: $$\left\{81,\ 97,\ 113,\ 129,\ 145\right\}$$

Tell whether the set of ordered pairs $$\left(3,\ -5\right),\ \left(6,\ -11\right),\ \left(9,\ -17\right),\ \left(12,\ -23\right)$$ satisfies a linear function. Explain.

Yes ; there is a constant change in $$x$$ that corresponds to a constant change in $$y$$ .

No ; there is a constant change in $$x$$ that corresponds to a constant change in $$y$$ .

No ; there is no constant change in $$x$$ that corresponds to a constant change in $$y$$ .

Yes ; there is no constant change in $$x$$ that corresponds to a constant change in $$y$$ .

Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line. Then tell what rate the slope represents.

The slope is $$-50$$ . The slope means that the amount of money in the account is decreasing at a rate of $50 every week.

The slope is $$50$$ . The slope means that the amount of money in the account is increasing at a rate of $50 every week.

The slope is $$-0.02$$ . The slope means that the amount of money in the account is decreasing at a rate of $0.02 every week.

The slope is $$-50$$ . The slope means that the amount of money in the account is decreasing at a rate of $50 every 2 weeks.

The water level of a river is 34 feet and it is receding at a rate of 0.5 foot per day. Write an equation that represents the water level, $$w$$ , after $$d$$ days. Identify the slope and y-intercept and describe their meanings. In how many days will the water level be 26 feet?

$$w=-0.5d+34$$ The slope is -0.5, and this is the rate at which the water level is receding. The y-intercept is 34, and this is the water level after 0 days. In 16 days, the water level will be 26 feet.

$$w=34d+0.5$$ The slope is 34, and this is the rate at which the water level is receding. The y-intercept is 0.5, and this is the water level after 0 days. In 16 days, the water level will be 26 feet.

$$w=-0.5d-34$$ The slope is -0.5, and this is the rate at which the water level is receding. The y-intercept is -34, and this is the water level after 0 days. In 120 days, the water level will be 26 feet.

$$w=34d-0.5$$ The slope is 34, and this is the rate at which the water level is receding. The y-intercept is -0.5, and this is the water level after 0 days. In 120 days, the water level will be 26 feet.

John took a sample of water from the pond behind his house. On the first day, he found 1 bacteria in the sample. Each day that amount tripled. The table for one week of bacteria growth is in the sample is shown below. Can this problem situation be described as a linear function or exponential function? How do you know?

Exponential, because the common ratio is 3.

Linear, because the common ratio is 3.

Linear, because the common difference is 3.

Exponential, because the common difference is 3.

The following two functions are graphed: $$f\left(x\right)=4x+4$$ $$g\left(x\right)=2^x+3$$ What type of function is $$f\left(x\right)$$ and how do you know?

Linear, because the rate of change is constant.

Exponential, because there is an $$x$$ in the equation.

Exponential, because the variable is an exponent.

Linear, because there is an $$x$$ in the equation.

The following two functions are graphed: $$f\left(x\right)=4x+4$$ $$g\left(x\right)=2^x+3$$ Which one of the following characteristics is true for BOTH $$f\left(x\right)$$ and $$g\left(x\right)$$ ?

They both have y-intercept of $$\left(0,\ 4\right)$$ .

They both have a constant rate of change.

They both are decreasing over all x-values.

They both have a range of all real numbers.

Which of the following models an exponential function?

A culture of bacteria doubles every half hour

Stew gets paid $12 per hour to cut grass

A pool pumps out water at 700 gallons per minute

You lose $5 for every math question you miss

Forevermore is a band made up of 3 of your friends. They have recorded a CD and would like to burn CDs to sell. They found two recording companies that will make a master CD and design the cover art, then make copies of the CDs. Company A charges $100 to make the master CD and design the cover art and an additional $3 per CD to make copies. Company B charges $5 per CD with no initial charge for the master CD and cover art. Give the total cost Forevermore must pay if they record 75 CDs using each company.

Company A: $325 Company B: $375

Company A: $7503 Company B: $7875

Company A: $400 Company B: $500

Forevermore is a band made up of 3 of your friends. They have recorded a CD and would like to burn CDs to sell. They found two recording companies that will make a master CD and design the cover art, then make copies of the CDs. Company A charges $100 to make the master CD and design the cover art and an additional $3 per CD to make copies. Company B charges $5 per CD with no initial charge for the master CD and cover art Which of the following is false about the graphs the number of CDs and total cost for each company?

Both graphs have a positive rate of change (slope)

Company A has a y-intercept at (0, 100) and Company B has a y-intercept at (0, 0).

Their intersection point is where the amount of CDs ordered costs the same for each company.

Given the function $$f\left(x\right)=\frac{1}{2}x-2$$ What happens to the end behavior on the right side of $$f\left(x\right)$$ ?

As $$x$$ increases, $$f\left(x\right)$$ increases towards $$\infty$$ .

As $$x$$ increases, $$f\left(x\right)$$ decreases towards $$-\infty$$ .

There is no correlation between $$x$$ and $$f\left(x\right)$$ .

Unit 3 - Milestone Review

Authored by Katie Ku

Mathematics

9th - 12th Grade

MGSE9-12 covered

Used 9+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the relations below is a function?

Tags

MGSE9-12.F.IF.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of a relation is shown below. Is this relation a function?

Yes

Cannot be determined

Tags

MGSE9-12.F.IF.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the relation depicted in the chart a function?

Yes

Cannot be determined from the chart.

Tags

MGSE9-12.F.IF.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph represents a function?

Tags

MGSE9-12.F.IF.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Give the domain and range of the relation.

D: {–5, 0, 4, 6}

R: {–9, 0, 9, 13}

D: {–5, 4, 6}

R: {–9, 9, 13}

D: {4, 6, –5, 9, 13, –9}

R: {0}

D: {–9, 0, 9, 13}

R: {–5, 0, 4, 6}

Tags

MGSE9-12.F.IF.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine a relationship between the x- and y-values. Write an equation.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-13

-8

Tags

MGSE9-12.F.IF.2

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