Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output.

Front

Evaluate g(m) = 17 - 2.5m for m = 5.

Back

g(5) = 17 - 2.5(5) = 4.5.

Front

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

Back

f(-3) = 2(-3) = -6.

Front

Evaluate g(x) = -2x - 4 for x = 1.

Back

g(1) = -2(1) - 4 = -6.

Front

Evaluate f(x) = -2x + 5 for x = 0.

Back

f(0) = -2(0) + 5 = 5.

Front

Evaluate f(x) = 21 - 4x for x = 3.

Back

f(3) = 21 - 4(3) = 9.

Front

What is the output of a function when the input is zero?

Back

The output of a function when the input is zero is found by substituting 0 into the function's equation.

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, where m is the slope and b is the y-intercept.

Front

What is the slope of the function g(m) = 17 - 2.5m?

Back

The slope of g(m) = 17 - 2.5m is -2.5.