Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x), where f is the function name and x is the input variable.

Front

Evaluate f(x) = 3x + 2 for f(4).

Back

f(4) = 3(4) + 2 = 14.

Front

What does it mean for a function to be evaluated at a certain point?

Back

Evaluating a function at a certain point means substituting that point into the function's equation to find the corresponding output.

Front

How do you find f(0) for the function f(x) = -x + 5?

Back

f(0) = -0 + 5 = 5.

Front

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

Back

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

Front

How would you express the function y = 4x + 1 in function notation?

Back

f(x) = 4x + 1.

Front

Evaluate f(x) = -2x + 3 for f(-1).

Back

f(-1) = -2(-1) + 3 = 5.

Front

What is the value of f(0) for the function f(x) = 2x - 3?

Back

f(0) = 2(0) - 3 = -3.

Front

If f(x) = x + 1, what is f(10)?

Back

f(10) = 10 + 1 = 11.