Evaluating Functions (Equations & Graphs)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output value of the function for a given input.

Front

If f(x) = 4x + 7, what is f(3)?

Back

f(3) = 19.

Front

What is the value of x when f(x) = 10 for f(x) = 2x + 6?

Back

x = 2.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

What is the y-intercept of a function?

Back

The y-intercept is the value of f(x) when x = 0.

Front

If f(x) = 2x^2 + 5x - 3, what is f(-1)?

Back

f(-1) = -6.

Front

What does the notation f(x) mean?

Back

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

Front

For what value of x does f(x) = -2 for f(x) = x^2 - 3?

Back

x = -5 or x = 5.

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.