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 names the function and x is the input.

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 does f(10) = 15 mean?

Back

It means that when the input to the function f is 10, the output is 15.

Front

How do you write the equation y = 2x - 3 in function notation?

Back

In function notation, it is written as f(x) = 2x - 3.

Front

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

Back

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

Front

How do you find f(4) if f(x) = 4x + 5?

Back

Substitute 4 into the function: f(4) = 4(4) + 5 = 21.

Front

What is the process to solve for x in f(x) = -4x - 10 and f(x) = 10?

Back

Set -4x - 10 equal to 10 and solve for x: -4x - 10 = 10 leads to x = -5.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.