Domain and Range of Exponential Functions

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

What is the Range of this function?

• y> 0

• x> 0

• All Real Numbers

• y= 1

What is the Domain of the function?

• 80 < y < 180

• 0 < x < 6

• All Real Numbers

• x > 0

What is the Range of the function?

• 0 < y < 180

• y > 80

• All Real Numbers

• 0 < x < 6

What is the Domain of this function?

• 25 < x < 10

• All Real Numbers

• 0 < x < 30

• 0 < y < 30

What is the Range of this function?

• 10 < y < 25

• All Real Numbers

• 0 < x < 30

• 0 < y < 30

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. What is a reasonable range of mosquitos?

• 4000 or less mosquitos, y ≤ 4000

• Between 0 and 4000 mosquitos, 0 < y ≤ 4000

• 4000 or more mosquitos, y ≥ 4000

• Between 4000 and 8000 mosquitos, 4000 ≤ y ≤ 8000

A ball is dropped from a 24 foot tall ladder. What is a reasonable range for the situation?

• All values between 0 and 24, 0 < y ≤ 24

• All values less than 24, y ≤ 24

• All values greater than 0, y > 0

• All real values

A particular radioactive element has a half life of 25 years. For an initial mass of 10 grams, the mass y in grams after t years is given by

y=10(1/2)^t/25 where t>0

What is a reasonable range for the radioactive element?

• t > 0

• y > 0

• 0 < y ≤ 10

• 0 < t ≤ 10

Determine the domain and range for the situation.

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• D: x ≥ 0

  R: y > 0

• D: x ≥ 6

  R: y ≥ 0

• D: x ≥ 0

  R: y ≥ 6

• D: x ≤ 0

  R: y ≤ 6