Domain, Range, and Evaluating Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

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.

Front

Evaluate f(t)=-2t^2+1 for f(-3).

Back

f(-3) = -17.

Front

What is the DOMAIN of the graph where x > -3?

Back

The domain is x > -3.

Front

What is the domain of the function graphed that includes all real numbers?

Back

The domain is All real numbers.

Front

What is the range of a function?

Back

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

Front

How do you find the domain of a function?

Back

To find the domain, identify all possible input values (x-values) that do not cause division by zero or take square roots of negative numbers.

Front

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

Back

A function is one-to-one if every output value is associated with exactly one input value.

Front

What is an example of a function that is not one-to-one?

Back

f(x) = x^2 is not one-to-one because both f(2) and f(-2) yield the same output (4).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.