CFA 1 Review

BASEBALL: The total number of games won by the Chicago Cubs baseball team each season for five consecutive years is given in the table below. Determine the domain, range, and continuity of the function that models the number of wins.

• D = {2012, 2013, 2014, 2015, 2016}; R = {61, 66, 73, 97, 103}; continuous

• D = {61, 66, 73, 97, 103}; R = {2012, 2013, 2014, 2015, 2016}; continuous

• D = {2012, 2013, 2014, 2015, 2016}; R = {61, 66, 73, 97, 103}; discrete

• D = {2013, 2014, 2015}; R = {97, 103}; continuous

SPRINGS: When a weight up to 15 pounds is attached to a 4-inch spring, the length L, in inches, that the spring stretches is represented by the function L(w) = 1/2 w + 4, where w is the weight, in pounds, of the object. Select the domain and range of the function. Then determine whether it is one-to-one, onto, both, or neither and whether it is discrete, continuous, or neither discrete nor continuous.

• D = {w|0 ≤ w ≤ 15}; R = {L|4 ≤ L ≤ 11.5}; one-to-one; continuous

• D = {w|4 ≤ w ≤ 11.5}; R = {L|0 ≤ L ≤ 15}; one-to-one; discrete

• D = {w|w ≥ 15}; R = {L|L ≤ 4}; onto; neither discrete nor continuous

• D = {w|4 ≤ w ≤ 11.5}; R = {L|L ≤ 4}; both; continuous

Tags

CCSS.HSF-BF.B.4D

CASHEWS: An airport snack stand sells whole cashews for $12.79 per pound. Determine whether the function that models the cost of cashews is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of the function in set-builder and interval notation.

• discrete; D = {x|x ∈ ℝ} or (−∞, ∞); R = {y|y ∈ ℝ} or (−∞, ∞)

• continuous; D = {x|x ≥ 0} or [0, ∞); R = {y|y ∈ ℝ} or (−∞, ∞)

• neither discrete nor continuous; D = {x|x ∈ ℝ} or (−∞, ∞); R = {y|y ≤ 0} or (−∞, 0]

• continuous; D = {x|x ≥ 0} or [0, ∞); R = {y|y ≥ 0} or [0, ∞)

Determine whether the given function is even, odd, or neither. \( f(x) = 2x^3 - 8x \)

• even

• odd

• neither

Tags

CCSS.HSF.BF.B.3

Determine whether the given function is even, odd, or neither. \( f(x) = x^2 + 2 \)

• even

• odd

• neither

Tags

CCSS.HSF.BF.B.3

BASKETBALL Tiana tossed a basketball. The graph shows the height of the basketball as a function of time. If the graph of the function is extended to include the domain of all real numbers, would it have line or point symmetry? If so, identify the line or point of symmetry.

• line symmetry; x = 0.2

• line symmetry; x = 0.4

• point symmetry; x = 0.6

• point symmetry; x = 0.5

Tags

CCSS.HSF.TF.A.4

Use the graph to describe the end behavior of the function.

• As x → -∞, y → -∞ and as x → ∞, y → -∞

• As x → -∞, y → -∞ and as x → ∞, y → ∞

• As x → -∞, y → ∞ and as x → ∞, y → -∞

• As x → -∞, y → ∞ and as x → ∞, y → ∞

Use the given graph to identify and estimate the x- and y-values of the extrema.

• No relative extrema

• Relative maximum at x=-1, y=-2; and relative minimum at x=3, y=1.8

• Relative maximum at x=3, y=1.8 and relative minimum at x=-1, y=-2

• Relative maximum only at x=3, y=1.8

What is the domain of the function shown? (Lesson 1-1)

• A. (-8, 0)

• B. (-6, ∞)

• C. (-∞, ∞)

• D. (-∞, 0)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Salvatore is a plumber. He charges $100 for all work that is completed in less than 2 hours. He charges $250 for work that requires 2 to 5 hours, and he charges $400 for work that takes between 5 and 8 hours. Which best describes the domain of the function that models Salvatore’s price scale? (Lesson 1-1)

• A. The domain is {100, 150, 400}.

• B. The domain is {x|0 < x ≤ 8}.

• C. The domain is {x|100 ≤ x ≤ 400}.

• D. The domain is {x| x = 2, 5, 8}