Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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

Is the set of points {(1, 2), (2, 3), (1, 4)} a function?

Back

Not a Function (the input 1 is related to two different outputs: 2 and 4).

Front

Which of the following is a function? {(1, 2), (2, 3), (3, 4)} or {(1, 2), (1, 3), (2, 4)}?

Back

{(1, 2), (2, 3), (3, 4)} is a function.

Front

What is the definition of a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the definition of a range 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

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

Back

f(2) = 2(2) + 3 = 7.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What is the slope of the line represented by the function y = 3x + 2?

Back

The slope is 3.

Front

What is the y-intercept of the function y = -2x + 1?

Back

The y-intercept is 1.