Evaluating Functions

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 f(x) represent in a function?

Back

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

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 4(4) + 5 = 21.

Front

What is the value of f(2) if f(x) = x + 3?

Back

f(2) = 2 + 3 = 5.

Front

What is the process to find the inverse of a function?

Back

To find the inverse of a function, swap the input and output values and solve for the new output.

Front

If g(x) = 11 - x, what is g(4)?

Back

g(4) = 11 - 4 = 7.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

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

If f(x) = x + 3, what is f(x) when f(x) = -5?

Back

Set x + 3 = -5, then x = -8.