Characteristics of Functions Review

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

Which set 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 x-value is unique.

Front

What does it mean if a graph has an absolute minimum?

Back

An absolute minimum is the lowest point on the graph over its entire domain.

Front

What does it mean if a graph has an absolute maximum?

Back

An absolute maximum is the highest point on the graph over its entire domain.

Front

What is a relative maximum?

Back

A relative maximum is a point on the graph where the function value is higher than all nearby points.

Front

What is a relative minimum?

Back

A relative minimum is a point on the graph where the function value is lower than all nearby points.

Front

If f(x) = y, what does f(x) represent?

Back

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

Front

What is the relationship between x and f(x)?

Back

x is the input to the function, and f(x) is the output.

Front

If f(x) = -2, what is x if the solution is 8?

Back

If f(x) = -2, then x = 8 is the input that gives that output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is produced by exactly one input.