Domain and Range

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 find the domain of a function given its graph?

Back

To find the domain from a graph, identify the x-values that the graph covers. The domain includes all x-values for which there are corresponding y-values.

Front

How do you find the range of a function given its graph?

Back

To find the range from a graph, identify the y-values that the graph covers. The range includes all y-values that correspond to the x-values in the domain.

Front

Evaluate f(-2) if f(x) = x² + 3.

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

What is f(1) if f(x) = 5?

Back

f(1) = 5.

Front

Given g(x) = 4x - 7, find g(-9).

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.