Function Notation — Cumulative exam Answers

The tables represent the functions f(x) and g(x).

Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce and rests on the ground when it lands.

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

Which graph shows the solution to the system of inequalities below?

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

What is the inverse of the function f(x) = 4x + 8?

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current.2(x – y) = a b(x + y) = 8Which are true? Select two options.a = 8b = 8a = 1b = 1a = b

What is the value of x in the equation (x + 12) = (x + 14) – 3?

The radius and circumference of several objects were measured.

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

The table of values below shows data for a five-word spelling test.Number of Letters vs. Percentage who Spelled CorrectlyWordNumber of letters in the wordPercentage of students who spelled the word correctly17482912357346595827Which describes how the data for word 2 should be plotted on a coordinate grid?

This mapping shows a functional relationship.

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).