A.12A, A.12B: Identifying and Evaluating Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is the vertical line test?

Back

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

Front

Evaluate f(x) = 3x - 4 at x = 2.

Back

f(2) = 3(2) - 4 = 6 - 4 = 2.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation f(x) = mx + b.

Front

Identify the function from the set: {(1,2), (2,3), (1,4)}.

Back

Not a function, because the x-value 1 has two different y-values (2 and 4).

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate f(x) = 5x + 1 at x = -1.

Back

f(-1) = 5(-1) + 1 = -5 + 1 = -4.

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 the function.

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.