Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

Evaluate f(-2) if f(x) = x^2 + 3.

Back

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

Front

What does f(x) = x^2 + 3 represent?

Back

It represents a quadratic function where the output is the square of the input plus 3.

Front

Find f(x) if x = -2 for f(x) = x^2 + 3.

Back

f(-2) = 9.

Front

If f(x) = -4, what is the value of x in the equation f(x) = -4 + \frac{x}{4}?

Back

x = 0.

Front

Solve for n if f(n) = 14 in the equation f(n) = 4 - 10n.

Back

n = -1.

Front

For the function f(x) = -3(x - 1), find f(0).

Back

f(0) = -3(0 - 1) = 3.

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 (f(x) values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.