Relations & Functions Review - 20?s

Front

What is a dependent variable?

Back

A dependent variable is the outcome or response that depends on the independent variable. In an experiment, it is what you measure.

Front

What is an independent variable?

Back

An independent variable is the factor that is changed or controlled in an experiment to test its effects on the dependent variable.

Front

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

Back

A relation is a function if every input (x-value) has exactly one output (y-value). This can be tested using the vertical line test.

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 graph at more than one point, it is not a function.

Front

Identify the independent and dependent variables: A baker spends $6 on ingredients for each cake he bakes.

Back

Independent Variable: Cakes; Dependent Variable: Cost.

Front

Write the function notation for the cost of baking cakes if each cake costs $6.

Back

f(c) = 6c, where c is the number of cakes.

Front

Which ordered pair represents a y-intercept on a graph?

Back

(0, y) where x = 0. For example, (0, 4) is a y-intercept.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

If the speed of a car increases, what happens to the speeding ticket amount?

Back

The speeding ticket amount typically increases as the speed of the car increases.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.