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 it mean to evaluate a function?

Back

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

Front

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

Back

f(1) = 5.

Front

What is the value of f(0) if f(x) = 5x - 3?

Back

f(0) = -3.

Front

How do you find f(-2) for the function f(x) = x^2 + 4?

Back

f(-2) = (-2)^2 + 4 = 4 + 4 = 8.

Front

What is the output of f(x) = 2x^2 - 3 when x = 3?

Back

f(3) = 2(3)^2 - 3 = 18 - 3 = 15.

Front

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

Back

f(-1) = (-1)^2 - 1 = 1 - 1 = 0.

Front

What is the formula for a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate f(x) = 4x + 5 for f(2).

Back

f(2) = 4(2) + 5 = 8 + 5 = 13.

Front

What is the value of f(10) if f(x) = -2x + 13?

Back

f(10) = -2(10) + 13 = -20 + 13 = -7.