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Final
100

Is the following relation a function? Explain.

{(0,1),(1,2),(2,3),(3,4),(4,4)}

Yes. x's never repeat.

100

Which function is increasing, decreasing, and constant?

 y=-3 

y=4/3x-5

 y=-2/3x+5 

Constant

Increasing

Decreaing

100

Comparing the two functions which has a greater rate of change?

A) y=2/3x-2 

B) 

Function A

100

Which intervals are increasing, decreasing, and or constant?

1) Increasing

2) Decreasing

3) Constant

100

Determine if the following relationship is linear or nonlinear. If linear find the equation of the function:

Yes. 

y=3x-1

200

Given 2 points of a linear function, how can you determine the equation of the function?

First, find the slope using the slope formula, then plug in Y, M, X using 1 point and the slope into Slope intercept form formula, and solve for b.

200

Is the following graph a function? Explain?

Yes. It passes the vertical line test

200

Find the equation of the line:


y=-1/4x+3

200

A balloon is release by a child. It slowly ascends at a constant rate for a lengthy period of time. After a while the balloon pops and quickly falls back to earth. Draw a graph to represent this scenario of elevation over time. Label your graph

200

Comparing the two functions which one has the greater initial value?

A)  y=5x+8 

B) 

B

300

Determine if the following function is Linear or Nonlinear, Explain:


Linear. There is a constant rate of change of  m=5/2 

300

Determine if the following relation is a function. Explain.

y=-2x+5

Yes. it is a linear function where x has a power of 1

300

Determine the equation of the line.

y=2/5x+2

300

Determine the equation of the function.

y=3/5x-2

300

Is the following relation a function? Explain.


{(-1,2)(2,-1)(0,0)(2,5)(8,9)(1,1)}

No, the input 2 has two outputs, -1 and 5

400

Determine if the following is linear or non-linear. Explain

Nonlinear. It does not have a constant rate of change.

400

Determine the slope and y intercept of the following function:


y=-2/3x-5

 m=-2/3 

 b=-5 

400

Determine if the following relation is a linear function. If so, determine the equation of the line.

y=3/7x

400

Determine the equations of a line that passes through the points (3,4) and (9,8)

y=2/3x+2

400

Determine if the following graph is a function.

No. Fails the vertical line test.

500

Graph the following relation. Determine if it is a function. Explain.

{(-1,-2),(2,2),(3,6),(3,4),(5,5)}


No. the input 3 has 2 outputs.

500

Determine the Slope:


m=0

500

Determine the equation of the function that passes through the points (3,0) and (9,-8)

y=-4/3x+4

500

Determine the equation of the following 2 points. Then Graph

(3,4) and (-2,14)


 y=-2x+10 

500

What is the slope formula?

(y_2-y_1)/(x_2-x_1)

500

A scooter rental shop rents car for 70 cents per mile, and a $6 rental fee. Write and equation for this situation, then graph the equation. Label your axis


 y=7/10x+6