Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using symbols like f(x), g(x), etc., where 'f' or 'g' denotes the function and 'x' is the input variable.

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 expression and simplify.

Front

Given g(x) = 4x - 7, find g(-9).

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

Given h(x) = -9x + 5, find h(8).

Back

h(8) = -9(8) + 5 = -72 + 5 = -67.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Which graph is not a function?

Back

Graph 1 is not a function because it fails the vertical line test.

Front

If f(x) = -2, what is x?

Back

To find x, set the function equal to -2 and solve for x. If f(x) = -2, then x = 8.

Front

Given f(x) = x + 3, find x when f(x) = 8.

Back

Set x + 3 = 8. Solving gives x = 5.

Front

What does f(x) represent in function notation?

Back

f(x) represents the output of the function f for the input x.

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.