IM Algebra 1 Unit 4 Assessment Review

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for the input x.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the input and output values and solve for the new output.

Front

What is the cost function for a gym membership defined as?

Back

The cost function is defined as C(n) = 50 + 4n, where n is the number of visits.

Front

If m = 40g, how do you express g in terms of m?

Back

g = \frac{m}{40}.

Front

What does the inverse function of a cost function tell us?

Back

It tells us how many visits correspond to a given monthly cost.

Front

How do you calculate the cost for a party with n people if the cost is $150 for 12 people?

Back

The cost per person is $150/12 = $12.50.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it shows how much the output changes for a unit change in the input.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.