Evaluating 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

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the function's equation and simplify to find the output.

Front

What does f(4) mean in the function f(x)=4x+5?

Back

f(4) means to substitute 4 for x in the function, resulting in f(4)=4(4)+5=21.

Front

If f(x) = x + 7, what is f(5)?

Back

f(5) = 5 + 7 = 12.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system, where x is the first element and y is the second.

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.

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

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (x-value).

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).