Domain and Range

Front

What is the domain in inequality notation?

Back

-2 ≤ x ≤ 2

Front

Describe the solution set for the equation 2(x + 5) = 2x + 5.

Back

no solution

Front

Does the graph represent a function?

Back

No, because the vertical line test shows there are repeating input values.

Front

Which graph does NOT pass the vertical line test?

Back

Graph 1

Front

What is the range of the following graph?

Back

all real numbers

Front

Define 'domain' in the context of functions.

Back

The set of all possible input values (x-values) for a function.

Front

Define 'range' in the context of functions.

Back

The set of all possible output values (y-values) for a function.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if a function has no solution?

Back

It means there are no values of x that satisfy the equation.

Front

What is an example of a function that has a restricted domain?

Back

f(x) = 1/x, where x cannot be 0.