Linear, Quadratic and Exponential Functions

What is the domain of the exponential function graphed below?

• A

• B

• C

• D

Answer explanation

The correct domain of the exponential function graphed is represented by choice C.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The growth of a population of mountain lions can be modeled by the exponential function graphed. What is the domain of the graph shown?

• Less Than or equal to 20

• Greater Than or equal to 20

• Less than or equal to 0

• Greater than or equal to 0

Answer explanation

The correct domain for the exponential function representing the growth of a population is greater than or equal to 0, as negative values are not applicable in this context.

Tags

CCSS.HSF-IF.C.7E

.

• All Real Numbers

• All Real Numbers Greater Than 1

• All Real Numbers Greater than 600

• All Real Numbers Greater than or Equal to 0

Answer explanation

The correct answer is 'All Real Numbers' because any real number can satisfy the condition of being greater than 0.

What is the domain of the exponential function graphed below?

• A

• B

• C

• D

Answer explanation

The domain of the exponential function graphed is represented by all real numbers, which is choice C.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The growth of a population of mountain lions can be modeled by the exponential function graphed. What is the domain of the graph shown?

• Less Than or equal to 20

• Greater Than or equal to 20

• Less than or equal to 0

• Greater than or equal to 0

Answer explanation

The correct domain for the exponential function representing the growth of a population is greater than or equal to 0, as negative values are not applicable in this context.

Tags

CCSS.HSF-IF.C.7E

.

• All Real Numbers

• All Real Numbers Greater Than 1

• All Real Numbers Greater than 600

• All Real Numbers Greater than or Equal to 0

Answer explanation

The correct answer is 'All Real Numbers' because any real number can satisfy the condition of being greater than 0.

An exponential function is shown on the graph. What is the range of the function?

• All Real Numbers

• All Real Numbers Greater than 0

• All Real Numbers Less Than 1

• All Real Numbers Less Than 0

Answer explanation

The correct range of the exponential function shown on the graph is all real numbers less than 0. This is because the function approaches but never reaches 0 as x approaches negative infinity.

Tags

CCSS.HSF-IF.C.7E

What is the range of the function f(x) = 3x² -12x + 7?

• F

• G

• H

• J

Answer explanation

The range of the function f(x) = 3x² -12x + 7 is all real numbers, denoted as G. Quadratic functions have a range of all real numbers unless restricted by other conditions.

The graph of a quadratic Function is shown. What is the range of the function?

• { -1 }

• All Real #s

• All Real #s less than 0

• All Real #s less than or equal to 0

Answer explanation

The range of the function is all real numbers less than or equal to 0 because the graph extends downwards indefinitely, covering all values less than or equal to 0.

A test has 10 questions. The graph shows the total score, y, when the x questions are answered correctly. What are the domain and range?

• Domain: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

  Range: {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

• Domain: {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

  Range: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• Domain: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

  Range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

  Range: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

Answer explanation

The correct choice is Domain: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and Range: {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}. This is because the domain represents the possible number of questions answered correctly (0 to 10), and the range represents the total score (0 to 100).