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 value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

What is the process to find the x-value that makes f(x) equal to a specific number?

Back

Set the function equal to that number and solve for x.

Front

What is the value of f(x) when f(x) = -4x - 10 and x = -5?

Back

f(-5) = 10.

Front

How do you find h(-3) for the function h(x) = x^2 + 3x?

Back

Substitute -3 into the function: h(-3) = (-3)^2 + 3(-3) = 0.

Front

What is the value of g(x) when g(x) = 4x - 1 and g(x) = 19?

Back

x = 5.

Front

Evaluate f(-5) for the function f(x) = -2x - 12.

Back

f(-5) = -2(-5) - 12 = -2.

Front

What is the value of f(4) for the function f(x) = x^2 - 5x?

Back

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

Front

What is the slope of the function f(x) = -4x - 10?

Back

The slope is -4.