SOL Prep Function Practice

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if no x-value is repeated. Each input (x-value) must map to one unique output (y-value).

Front

Evaluate the function: If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

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, the relation is not a function.

Front

Evaluate the function: If f(x) = x^2, what is f(-3)?

Back

f(-3) = (-3)^2 = 9.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

Does the set of ordered pairs {(1, 2), (2, 3), (1, 4)} represent a function?

Back

No, it does not represent a function because the x-value '1' is repeated with different y-values.

Front

Evaluate the function: If f(x) = 3x - 5, what is f(1)?

Back

f(1) = 3(1) - 5 = 3 - 5 = -2.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate the function: If f(x) = rac{1}{2}x + 1, what is f(4)?

Back

f(4) = rac{1}{2}(4) + 1 = 2 + 1 = 3.