evaluate 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 does it mean to evaluate a function?

Back

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

Front

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

Back

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

Front

How do you find f(0) for the function f(x) = 2x + 1?

Back

f(0) = 2(0) + 1 = 1.

Front

Given g(x): {(0, 5), (3, 4), (5, 3)}, what is g(3)?

Back

g(3) = 4.

Front

Evaluate f(-4) for the function f(x) = 3x + 9.

Back

f(-4) = 3(-4) + 9 = -12.

Front

What is the output of f(5) if f(x) = 2x + 6?

Back

f(5) = 2(5) + 6 = 16.

Front

What is the general form of a linear function?

Back

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

Front

What is the slope of the function f(x) = 3x + 2?

Back

The slope (m) is 3.

Front

What is the y-intercept of the function f(x) = 4x - 1?

Back

The y-intercept (b) is -1.