Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by the input variable in parentheses, such as f(x).

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

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

Back

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

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

Find f(10) if f(x) = -4x - 10.

Back

f(10) = -4(10) - 10 = -40 - 10 = -50.

Front

What does the term 'domain' refer to in 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 does the term 'range' refer to in a function?

Back

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

Front

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

Back

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

Front

What is the value of y in the equation y = 4x - 1 when x = 2?

Back

y = 4(2) - 1 = 8 - 1 = 7.

Front

Evaluate f(-5) if f(x) = -2x - 12.

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.