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 value of f(x) = x + 3 when x = -5?

Back

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

Front

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

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

What is the process to find x when f(x) = k?

Back

Set the function equal to k and solve for x.

Front

For the function f(x) = 2x + 2, what value of x makes f(x) = 2?

Back

Set 2x + 2 = 2, which simplifies to x = 0.

Front

What is the output of f(x) = x^2 - 5x when x = 4?

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.