Answers to Review Sheet ALGEBRA

Hi Guys! Sorry I am a little late (it's 5pm and I am just posting!), but here are the answers to your review sheet for homework tonight.

1.) A function is a relation between a set of inputs and outputs in which every input has exactly one output.

2.) A relation is a set of input and output values that can be graphed in a coordinate plane.

3.) The Vertical Line Test is a method used to distinguish functions from relations. The vertical line test states that if any vertical line drawn on your graph intersects the graph at only one point, your graph represents a function. If any vertical line drawn on your graph intersects the graph and more than one point, your graph represents a relation, but NOT a function.

4.) I can't draw a graph on here, so see me if you need help on this tomorrow before the quiz!

5.) Words: The number of ounces of soda drank depends on the number of cans. For each can of soda, there are 12 ounces drank.
Equation: y = 12x
Graph: Again, I can't draw a graph on here, so see me if you need help!

5 (AGAIN! HAHA SORRY!)
a.) Table is linear and the rule is: y = 4x + 2. It is linear because there is a constant rate of change.

b.) Table is non-linear and the rule is y = -x^2. It is non-linear because there is not a constant rate of change.

6.) a. cubic
b. Linear
c. Quadratic
d. Linear

7.) a. Independent variable is time. Dependent variable is grass height.
b. The grass is growing at a steady rate. Then, the grass gets cut. It begins to grow at a steady rate again, and grows longer than last time, but gets cut again. It begins to grow a third time at a steady rate, but is cut quickly again, before starting to grow at a steady rate.
c. The graph never hits the x-axis because the grass is never at a height of 0.