Unit Test — Unit test Answers

The dimensions of a triangle are represented by the functions shown.

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.

Which statement verifies that f(x) and g(x) are inverses of each other?

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.

f(x) = 2x – 1g(x) = 7x – 12What is h(x) = f(x) + g(x)?

If the function has an inverse function, which statement must be true?

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.

The number of rows in an auditorium can be represented by the function f(x) = 80x.The number of seats in each row can be represented by the function g(x) = x + 7.Which function represents the total number of seats, h(x) = f(x)g(x)?

Consider the table of values for .

The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7.How can the functions be combined to find a function, a(x), that models the area of the rectangle?

Which function is the inverse of ?

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Which graph represents the same relation as the set ?

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a year. Jack opens his account with $1,000, and Susie opens her account with $800. x = number of yearsThe following functions represent the value of the savings accounts in x years:Jack’s savings account: f(x) = 1000(1.015)xSusie’s savings account: g(x) = 800(1.015)x Which function represents the total amount Jack and Susie will save in x years?

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.