Function Notation Practice

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a graph, or an equation.

Front

What is the vertical line test?

Back

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

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

If f(x) = x - 5, what is f(10)?

Back

f(10) = 10 - 5 = 5.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

If g(x) = 3x + 2, what is g(4)?

Back

g(4) = 3(4) + 2 = 12 + 2 = 14.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

How do you find the value of x when f(x) = c?

Back

To find x when f(x) = c, set the function equal to c and solve for x.

Front

What is the output of f(x) = 2x + 3 when x = 5?

Back

f(5) = 2(5) + 3 = 10 + 3 = 13.

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.