What is the range of the exponential function shown?

Range is $$\left(-1,\infty\right)$$

Range is $$\left(0,\ -\infty\right)$$

Range is $$\left(0,\infty\right)$$

What is the Domain of the exponential function shown?

Domain is $$\left(-\infty,\infty\right)$$

Domain is $$\left(0,\ -\infty\right)$$

Domain is $$\left(-1,\infty\right)$$

Domain is $$\left(0,\infty\right)$$

On a remote island, a population of 50 rodents is introduced. With no natural predators and plenty of resources, the rodent population increases by 20% each year. The population P(t) after "x" years is modeled by the exponential function: $$P\left(x\right)=50\left(1.20\right)^x$$ What is an appropriate domain for this situation?

Real numbers greater than 0 $$\left[0,\infty\right)$$

All real numbers $$\left(-\infty,\infty\right)$$

Positive integers {0, 1, 2, 3 ...}

Integers greater than 50 $$x\ge50$$

On a remote island, a population of 50 rodents is introduced. With no natural predators and plenty of resources, the rodent population increases by 20% each year. The population P(t) after "x" years is modeled by the exponential function: $$P\left(x\right)=50\left(1.20\right)^x$$ What is an appropriate RANGE for this situation?

Integers 50 or greater $$\left[50,\infty\right)$$

All real numbers $$\left(-\infty,\infty\right)$$

Real numbers 50 or greater $$\left[50,\infty\right)$$

Positive integers {0, 1, 2, 3 ...}

On a remote island, a population of 50 rodents is introduced. With no natural predators and plenty of resources, the rodent population increases by 20% each year. The population P(t) after "x" years is modeled by the exponential function: $$P\left(x\right)=50\left(1.20\right)^x$$ What does the y-intercept of this graph represent?

The initial amount of rodents was 50

The initial amount of rodents was 0

The total amount of rodents after 1 year

The total amount of rodents after 10 years

A wildlife reserve is working to safely remove an invasive rodent species from a protected area. At the beginning of the removal effort, there are 800 rodents. Thanks to effective removal strategies, the population decreases by 30% each year . The remaining rodent population P(x)after "x" years is modeled by the exponential decay function: $$P\left(x\right)=800\left(0.70\right)^x$$ How do you justify that this is a DECAY model? (select all that apply)

Population is being "removed" so it will be going down

A wildlife reserve is working to safely remove an invasive rodent species from a protected area. At the beginning of the removal effort, there are 800 rodents. Thanks to effective removal strategies, the population decreases by 30% each year . The remaining rodent population P(x)after "x" years is modeled by the exponential decay function: $$P\left(x\right)=800\left(0.70\right)^x$$ What is an appropriate RANGE for this function?

Integers between 0 and 800 $$0\le y\le800$$

All real numbers $$\left(-\infty,\infty\right)$$

Real Numbers greater than 0 $$y>0$$

Real numbers between 0 and 800 $$0\le y\le800$$

5.1 Characteristics of Exponential Functions Lesson Check

Authored by Amy Whitehead

Mathematics

9th - 12th Grade

CCSS covered

Used 10+ times

5.1 Characteristics of Exponential Functions Lesson Check

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Growth

Deacy

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Exponential functions are repeated __________?

Addition

Subtraction

Multiplication

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Whats the horizontal asymptote?

y=1

y=0

(0,-1)

y=-1

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the y-intercept of the function?

(0,3)

(3,0)

(0,-3)

(-3,0)

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Growth

Deacy

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Is the pictured graph growth, decay, or linear or none?

Exponential Growth

Exponential Decay

Linear

None

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this exponential growth or decay?

Growth, because the base > 1

Decay , because the 0 < base < 1

Growth , because the 0 < base < 1

Decay, because the base > 1

Tags

CCSS.HSF-IF.C.8B

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