Functions, Tables, Graphs

Front

What is a function?

Back

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

Front

Which of the following is 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 does it mean if a relation is not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Evaluate f(x)=4x+5 for f(4).

Back

f(4) = 4(4) + 5 = 21.

Front

Evaluate f(x)=x²-5x for f(4).

Back

f(4) = 4² - 5(4) = 16 - 20 = -4.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output.

Front

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

Back

f(1) = 3(1) - 2 = 1.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.