Function Notation Practice

Front

What is the vertical line test?

Back

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

Front

Does the graph of a function pass the vertical line test?

Back

Yes, if any vertical line drawn through the graph intersects it at most once.

Front

Given the function f(x) = 3x^2 + 3, what is f(0)?

Back

f(0) = 3(0)^2 + 3 = 3.

Front

What does f(10) equal for the function f(x) = \frac{1}{2}x + x?

Back

f(10) = \frac{1}{2}(10) + 10 = 15.

Front

Which of the following sets of values represents a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each input has a unique output.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

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 (y-values) that the function can produce.

Front

If f(x) = 2x + 1, what is f(3)?

Back

f(3) = 2(3) + 1 = 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 f(x) = mx + b.