8th Grade Functions

Front

What is a function?

Back

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

Front

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

Back

A set of points is a function if no x-value is repeated with different y-values.

Front

What is the vertical line test?

Back

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

Front

Given the points (2,9), (2,7), (6,7), is this a function?

Back

No, because the x-value 2 is repeated with different y-values.

Front

Which of the following is a function: (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because all x-values are unique.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the points (5,1) and (6,2)?

Back

The slope is 1.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless pairs of (x, y) that satisfy the equation.

Front

How many solutions does the equation 5(x+1)=5x+5 have?

Back

Infinitely many solutions.

Front

What is the definition of an input in a function?

Back

An input is the value you provide to a function, typically represented as x.