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Comparing Functions

Last updated over 3 years ago

11 questions

Determine whether the following three scenarios are linear or exponential then write their equations.

1

The amount of pollution in the air will continue to double every 20 years if we do not reduce our daily emissions. If there are 70 million tons of pollution in the air now, how many tons will there be in x 20-year periods?

1

Joaquin earns $2 for each magazine sale. Each time he sells a magazine, he also gets a five-dollar tip. How much money will he make by selling x magazines?

1

The population of New York has been increasing by about 65,000 people per year since the 2010 census was taken. If the population in 2010 was 8,175,133, what should it have been after x years?

1

Sandra wants to buy a new iPhone for $989. She calculates that if she pays a down payment of 9% and pays $100 per month, she will be able to pay off the phone by December. What month is it now?

1

Is the following sequence arithmetic or geometric?
1.5, 3, 6, _, 24, _

1

If the sequence below is arithmetic, what is its common difference. If it is geometric, what is its common ratio.
1.5, 3, 6, _, 24, _

1

Is the following sequence arithmetic or geometric?
24, 12, 6, _, _

1

If the sequence below is arithmetic, what is its common difference. If it is geometric, what is its common ratio.
24, 12, 6, _, _

1

Is the following sequence arithmetic or geometric?
4, 7, 10, _, 16, _

1

If the sequence below is arithmetic, what is its common difference. If it is geometric, what is its common ratio.
4, 7, 10, _, 16, _

1

Match the features to their functions

y-intercept = (0, -7)
y-intercept = (0, 1)
Decreasing = x<0
x-intercept(s) = (3.5, 0)
Positive = always
Decreasing = never
Negative = always
Vertex = (0, 1)
Increasing = x>0
Decreasing = always
Asymptote: y = 0
Range = all real numbers
Range = y≥1
Increasing = always
Negative = x<3.5
x-intercept(s) = none
Range = y<0
y-intercept = (0, -3)
Positive = x>3.5
Increasing = never
Domain = all real numbers
Negative = never
Positive = never

y = 2x - 7
y = 3x2 + 1
y = -3(2)x