Domain and Range from Data — Unit test Answers

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

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

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards.

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

Consider the function represented by the graph.

The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The maximum length of the mirrors is 52 centimeters.

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

One vendor at a craft fair wants to earn $1,200 selling various items over a weekend. The following function can be used to model the average selling price of x number of items. The mathematical domain of this function is all real numbers except 0.

The function f(x) = 2.5x + 75 is used to model the cost of renting billboard space depending on the area, in square feet, of the billboard, x, and including a standard layout fee. The mathematical range for the function is the set of real numbers.

The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers.

Which graph represents a function?