IM Algebra 1 Unit 4 Assessment Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

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. For example, |3| = 3 and |-3| = 3.

Front

How do you find the cost function for a party based on the number of people?

Back

The cost function can be defined as C(n) = cost per person * n, where n is the number of people.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you calculate the distance traveled using gallons of gas?

Back

Using the equation m = 40g, where m is the distance in miles and g is the gallons of gas used.

Front

What does the inverse function represent?

Back

The inverse function gives the input value for a given output value. For example, if c(n) = 50 + 4n, the inverse would tell how many visits correspond to a specific cost.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).