Functions, Tables, and Graphs

Front

What is a function?

Back

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

Front

Which set of values is 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 because each x-value is unique.

Front

Which ordered pair is a solution of the equation y=(1/2)x?

Back

(6, 3) is a solution because when x=6, y=(1/2)*6=3.

Front

Is the graph pictured a function? (Yes/No)

Back

No, because it fails the vertical line test.

Front

Which equation represents the values of the ordered pairs x: -1, 0, 1, 2, 3 and y: -1, 1, 3, 5, 7?

Back

y = 2x + 1.

Front

What is the vertical line test?

Back

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

What are independent and dependent variables in a function?

Back

The independent variable is the input (x), and the dependent variable is the output (y) that depends on the input.

Front

What does it mean for a function to be linear?

Back

A linear function creates a straight line when graphed and can be expressed in the form y = mx + b.

Front

What is the slope of a line?

Back

The slope (m) is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of x and y values that satisfy a function.