What is the inverse of the function f ( x ) = x + 3 f(x)=x+3 f ( x ) = x + 3

h ( x ) = x − 3 h\left(x\right)=x-3 h ( x ) = x − 3

h ( x ) = 1 3 x + 3 h(x)=\frac{1}{3}x+3 h ( x ) = 3 1 x + 3

h ( x ) = 1 3 x − 3 h(x)=\frac{1}{3}x-3 h ( x ) = 3 1 x − 3

h ( x ) = x + 3 h\left(x\right)=x+3 h ( x ) = x + 3

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C ( F ) = 5 9 ( F − 32 ) C\left(F\right)=\frac{5}{9}\left(F-32\right) C ( F ) = 9 5 ( F − 3 2 ) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit

the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius

the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit

What is the domain of this function?

{x| 0 ≤ x ≤ 8 0\le x\le8 0 ≤ x ≤ 8 }

{x| x ≤ 0 , x ≥ 8 x\le0,x\ge8 x ≤ 0 , x ≥ 8 }

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.

Each strawberry contains 3 calories.

Twenty-four strawberries contain 6 calories.

Four strawberries contain 15 calories.

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2 x + 6 y = 12 2x+6y=12 2 x + 6 y = 1 2 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made?

Tomas added 6 to both sides of the equation instead of subtracting 6.

Tomas substituted the 3 for x when he should have substituted 6 for x.

Tomas should have written the equation as 3 x + 6 y = 12 3x+6y=12 3 x + 6 y = 1 2 .

Tomas substituted 3 for x when he should have substituted 3 for y.

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below. Which statement about the stamps is correct?

The total number of stamps is 35.

The total number of stamps is 25.

The total value of the stamps is $18.75.

The total value of the stamps is $19.15.

Which statement is true about the graphed function?

F(x) > 0 over the interval (–∞, –4)

F(x) < 0 over the interval (–∞, –4)

F(x) < 0 over the interval (–∞, –3)

F(x) > 0 over the interval (–∞, –3)

Which statement is true about the end behavior of the graphed function?

As the x -values go to positive infinity, the function's values go to negative infinity.

As the x -values go to zero, the function's values go to positive infinity.

As the x -values go to negative infinity, the function's values are equal to zero.

As the x -values go to positive infinity, the function's values go to positive infinity.

What is the domain of the function shown in the mapping?

{ x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}

{ y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y , is a function of the time in minutes, x , that it has been draining. What is the range of this function?

all real numbers such that 0 ≤ y ≤ 40

all real numbers such that y ≤ 40

all real numbers such that y ≥ 0

all real numbers such that 37.75 ≤ y ≤ 40

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y ?

The values of both x and y will be real numbers greater than or equal to 0.

The values of both x and y can be any real number.

The value of x can be any real number, but the value of y will always be a real number greater than or equal to 0.

The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

{ x | x = –5, –4, –2, 0, 2}

{ x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}

{ y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Representing Relationships Review

Authored by Maria Keenum

Mathematics

9th - 10th Grade

CCSS covered

Used 22+ times

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40 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which could be the entire interval over which the function, f(x), is negative?

(-8,-2)

(-8,0)

(- $\infty$ ,-6)

(- $\infty$ ,-4)

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off the back of the bleachers.

To the nearest tenth of a second, how much time would it take the penny to hit the ground?

0.5 seconds

0.6 seconds

0.7 seconds

0.8 seconds

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table.

Which statement is true?

The initial height of the ball is 96 feet.

The ball will hit the ground between 2 and 3 seconds after it was thrown.

The maximum height of the ball must be 96 feet.

The maximum height of the ball was 2.5 seconds after it was thrown.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

According to the table, which ordered pair is a local minimum of the function, f(x)?

(0, 9)

(4, 105)

(–1, 0)

(2, –15)

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which intervals show f(x) increasing? Choose two options.

[–2.5, –1.6)

[–2, –1]

(–1.6, 0]

[0, 0.8)

(0.8, 2)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Analyze the graph of the function f(x) to complete the statement.

f(x)<0 over and what other interval? $\left(-\infty,-3\right)$

(-1.1,0.9)

(-1.1,2)

(-3,-1.1)

(-2.4, -1.1)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which interval contains a local minimum for the graphed function?

[-4,-2.5]

[2.5,4]

[-2,-1]

[1,2]

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Representing Relationships Review

Which could be the entire interval over which the function, f(x), is negative?

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off the back of the bleachers.

To the nearest tenth of a second, how much time would it take the penny to hit the ground?

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table.

Which statement is true?

According to the table, which ordered pair is a local minimum of the function, f(x)?

Which intervals show f(x) increasing? Choose two options.

Analyze the graph of the function f(x) to complete the statement.

f(x)<0 over and what other interval? $\left(-\infty,-3\right)$

Which interval contains a local minimum for the graphed function?

Which interval for the graphed function contains the local minimum?

The function f(x) is shown on the graph.

If f(x) = 0, what is x?

The function f(x) is shown on the graph.

What is f(0)?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Representing Relationships Review

Which could be the entire interval over which the function, f(x), is negative?

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off the back of the bleachers.To the nearest tenth of a second, how much time would it take the penny to hit the ground?

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table.Which statement is true?

According to the table, which ordered pair is a local minimum of the function, f(x)?

Which intervals show f(x) increasing? Choose two options.

Analyze the graph of the function f(x) to complete the statement. f(x)<0 over and what other interval? (−∞,−3)\left(-\infty,-3\right)(−∞,−3)

Which interval contains a local minimum for the graphed function?

Which interval for the graphed function contains the local minimum?

The function f(x) is shown on the graph.If f(x) = 0, what is x?

The function f(x) is shown on the graph.What is f(0)?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off the back of the bleachers.

To the nearest tenth of a second, how much time would it take the penny to hit the ground?

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table.

Which statement is true?

Analyze the graph of the function f(x) to complete the statement.

f(x)<0 over and what other interval? $\left(-\infty,-3\right)$

The function f(x) is shown on the graph.

If f(x) = 0, what is x?

The function f(x) is shown on the graph.

What is f(0)?