Unit 4 Algebra

Which equation represents the function?

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function, C, can be represented with this set of rules.

How much does it cost to have a party with 15 people?

• $150

• $260

• $400

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function, C, can be represented with this set of rules.

How much does it cost to have a party with 12 people?

• $150

• $260

• $400

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. In this situation, what information would the inverse function give us?

• The number of visits

• How many gym visits if we know the monthly cost

• The cost of a membership

• The monthly cost if we know the gym visits

Which of these units will we be studying this semester? (Choose all that apply)

• Exponential Relationships

• Algebraic Models and Functions

• Linear Relationships

• Polynomial Expressions

• Quadratic Relationships

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the inverse function.

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(8) and explain what it means in this situation.

• $54; it means that 8 visits cost $54.

• $75; it means that 8 visits will cost $75.

• 8 visits will cost $62.

• 8 visits will cost $82.

Function p represents the number of people in the museum on a Tuesday as a function of hours since the museum opened.

Here is the graph of function p.

Based on the graph and the situation, which domain and range make sense for function p?

• Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14.

• Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: whole numbers only from 0 to 14. Range: all numbers from 0 to 85.

What is the domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)

What is the domain of the graph shown?

• -2 < y ≤ 6

• -6 ≤ x < -2

• -6 < y ≤ 6

• -6 < x ≤ 3