Graphing
Writing & Domain and Range
Determining
Scatter Plots & Trend Lines
Arithmetic Sequences
100

In a distance versus time graph, a horizontal line represents what?

An object is stationary or not moving.

100

Identify the independent and dependent variables. Write an equation in function form for the situation.


"An amusement park charges a $6.00 parking fee plus $29.99 per person."

Independent variable is the number of people.

Dependent variable is the total cost of the amusement park.

(p) = 6 + 29.99p

100

Is the following equation a function? Explain.

y = |x + 1|

Yes, the graph will pass the vertical line test.

100

The table shows the number of points scored by the West Noble football team in the first six games this year. Graph the data and determine whether it is a function or not.

100

Determine if the sequence is an arithmetic sequence. If so find the next three terms.

-8, -2, 4, 10, . . .

Yes, the next three terms are 16, 22, 28.

200

In a velocity versus time graph, a horizontal line represent what?

An object is at a constant velocity or their velocity is not changing.

200

Find the domain and range of the relation below.

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

D = {-2, -1, 0, 1}

R = {0, 1, 2, 3}

200

Is the graph a function? Explain.

No, it would fail the vertical line test at almost every point.

200

What is a discrete graph?

This is a graph of points only. The graph is not connected.

200

Given the arithmetic sequence below find the 47th term.

11, 7, 3, -1, . . .

a47 = -173

300

A squirrel starts walking across the yard at a constant speed, get frightened and speeds up to a run, then slows back down to a walk, get frightened again and speeds up to a run again and finally slows back down to a walk. Which graph represents this situation? 

Graph B

300

A car  can travel 30 miles on a gallon of gas and has a 20-gallon tank. 

A. Write a function rule.

B. How far can the car travel on 12-gallons of gas?

D(g) = 30g

D(12) = 30(12) = 360 miles

The car can travel 360 miles.

300

Is the graph a function? Explain.

Yes, It passes the vertical line test.

300

Use the trend line graphed to predict the number of snowboarding participants in 2008.

There was approximately 66 participants.

300

Given the first term in a sequence is 17 and the common difference is + 4. Find the 131st term.

a131 = 537

400

You hike up a mountain path starting at 10am. You camp overnight halfway up the mountain and then at 10 am the next morning you continue hiking up the rest of the mountain. You camp overnight at the top of the mountain and then at 10am the next morning you hike all the way down the mountain. Draw a graph to represent this situation. Notice they are using time and distance measurements!!!

400

Find the domain and range.

D = -4 <= x <= 4

R = -4 <= y <= 4

400

Is the equation a function? Explain.

x = 5y2

No, it's graph would not pass the vertical line test.

400

Roma had guests for dinner at her house eight times and has recorded the number of guests and the total cost for each meal in the table below. Graph the data and use it to predict her cost if she has 9 guest.

Her cost will be approximately $188.

400

If you have the sequence below, find the the 123rd term.

-158, -145, -132, -119, . . .

a123 = 1428

500

Write a situation for the given graph.

A marathon runner starts at a steady pace and then runs faster at the end of the race before stopping at the finish line.

500

The square patch of grass above needs to be seeded around the 4 identical circular ponds. Write a function for the area (A) of grass that needs to be seeded in terms of the radius of the ponds (r). 

Area = 16r2 - 4(pi)r2

500

Is the graph of the cosecant of x a function? Explain.

Yes, it is a function. It would pass the vertical line test.

500

The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999. Write a statement explaining what the graph is showing.

As the traffic volume increases the vehicle speed decreases.

500

Given the sequence below find the 58th term.

a58115/4