Which of the following best represents the domain of this function?

A. -2 ≤ x ≤ 4
Incorrect. To determine the domain, identify the minimum, or left most, x value and the maximum, or right most, x value.

B. -2 < x < 4
Incorrect. To determine the domain, identify the minimum, or left most, x value and the maximum, or right most, x value.

C. -5 ≤ x < 4
Incorrect. An open circle on the graph indicates that point is not included in the solution while a closed circle indicates that point is included in the solution.

D. -5 < x ≤ 4
Correct! The domain of a function is the set of all the x-coordinates in the function’s graph. An open circle on the graph indicates that point is not included in the solution while a closed circle indicates that point is included in the solution.

The graph shows the path of a baseball.

What is the range of this function?

A. 0 < y < 100
Incorrect. An open circle on the graph indicates that point is not included in the solution while a closed circle indicates that point is included in the solution.

B. 0 ≤ y ≤ 100
Correct! The range of a function is the set of all the y-coordinates in the function's graph.

C. 0 ≤ y ≤ 4
Incorrect. To determine the range, identify the minimum, or lower most, y-value and the maximum, or upper most, y-value.

D. 0 < y < 4
Incorrect. To determine the range, identify the minimum, or lower most, y-value and the maximum, or upper most, y-value.

Which inequality best represents the domain of the function shown on the graph?

A. -3 < x < 4
Correct! The domain of a function is the set of all x-coordinates in the function’s graph.

B. -3 ≤ x ≤ 4
Incorrect. An open circle on the graph indicates that point is not included in the solution while a closed circle indicates that point is included in the solution.

C. -4 ≤ x ≤ 6
Incorrect. To determine the domain, identify the minimum, or left most, x value and the maximum, or right most, x value.

D. -4 < x < 6
Incorrect. To determine the domain, identify the minimum, or left most, x value and the maximum, or right most, x value.

Which inequality best describes the range of the function represented by this graph?

A. y ≤ -2
Incorrect. The minimum value of the range is the lower most y-value on the graph. The maximum y-value is infinite, as indicated by the arrow.

B. y ≤ 5
Incorrect. The range of a function is the set of all the y-coordinates in the function's graph.

C. y ≥ -2
Correct! To determine the range, identify the minimum, or lower most, y-value on the graph. The maximum y-value is infinite, as indicated by the arrow.

D. y ≥ 5
Incorrect. The range of a function is the set of all the y-coordinates in the function’s graph.

The area of a square is 49 cm² or less.

Which set describes the domain for s, the side length of the square?

A. {0 < x ≤ 4}
Incorrect. To determine the domain, identify the minimum side length and maximum side length of the square. To determine the side length, find the square root of the area.

B. {0 < x ≤ 12.25}
Incorrect. To determine the domain, identify the minimum side length and maximum side length of the square. To determine the side length, find the square root of the area.

C. {0 < x ≤ 49}
Incorrect. To determine the domain, identify the minimum side length and maximum side length of the square. To determine the side length, find the square root of the area.

D. {0 < x ≤ 7}
Correct! To find the maximum domain value, find the square root of the largest area, 49.

The number of socks in n pairs of socks can be expressed by the function s = 2n. What is the domain and range of this function?

A. Domain: {0,2,4,6,...}
Range: {0,1,2,3,...}
Incorrect. The domain is the number of pairs of socks. The range is the number of socks in n pairs of socks.

B. Domain: {0,1,2,3,...}
Range: {0,2,4,6,...}
Correct! The domain is the set of non-negative integers and the range is the set of multiples of 2.

C. Domain: {0,1,2,3,...}
Range: {0,1,2,3,...}
Incorrect. The range is the number of socks in n pairs of socks. A pair of socks cannot have an odd number of socks.

D. Domain: {0,2,4,6,...}
Range: {0,2,4,6,...}
Incorrect. The domain is the number of pairs of socks. Reasonable numbers of socks includes odd numbers as well.