Functions Domain and Range Review

Front

Back

Front

What are the x-intercepts of the function?

Back

x = 4, x = -2.

Front

Back

Non-linear.

Front

Evaluate the function when x = 4: f(x) = 2x - 5.

Back

f(4) = 2(4) - 5 = 3.

Front

Given f(x) = 3x^2 + 1, what is f(t + 2)?

Back

f(t + 2) = 3(t + 2)^2 + 1.

Front

Define the domain of a function.

Back

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

Front

Define the range of a function.

Back

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

Front

What is an x-intercept?

Back

The point where the graph of a function crosses the x-axis (y=0).

Front

What is a linear function?

Back

A function that can be expressed in the form y = mx + b, where m and b are constants.

Front

What is a non-linear function?

Back

A function that does not form a straight line when graphed; it can include quadratics, exponentials, etc.