Exponents and Exponentials

Exponent rules 1

100

Simplify: x²*x³

x⁵

200

Simplify: x^-12

1/x¹²

300

Which expression is equivalent to: the square root of 500? (#1 on review)

10 root 5

400

Which expression is equivalent to: (x^2/3)⁴

x^8/3

500

Simplify: x⁵y² / (x³/y) (Number 3 on review)

x²y³

Exponent Rules 2

100

Simplify: x⁵/x²

x³

200

Simplify: (x¹³)²

x²⁶

300

Which expression is equivalent to: the square root of 300?

10 root 3

400

Which expression is equivalent to: (x^5/9)² (Number 2 on review)

x^10/9

500

Simplify (10a⁰b³c²⁰)(2a¹⁵b^-25c⁰) (Number 4 on review)

20a¹⁵c²⁰/b²²

Exponential Functions 1

100

Which letter represents the INITIAL VALUE in an exponential function? a*b^x

a

200

What is the initial value in the function: 123(0.3)^x

123

300

(Number 9) 

Which two statements about the graph y=2(0.3)^x are true?

B: horizontal asymptote and D: decreasing

400

(number 6 on packet) given the function: v(d)=575(0.65)^x identify the:

- initial value

-increasing or decreasing?

-rate? _%

-575

-decreasing

-35%

500

Number 11 on your review packet! Look at your group members answers and pick the best graph to show me as your answer.

Answers may vary. But there should be points on (9,0) (1, 6) and/or (2, 4). And the function should be decreasing!

Exponential Functions 2

100

Which letter represents the RATE in an exponential function? a*b^x

b

200

(Number 7) This year the number of students who participated in sports was 412. Each year the number of students who participate in sports increases by 6%. Which function can be used to model the number of students participating in sports after x years?

c: f(x)=412(1.06)^x

300

What is the rate in the function 145(2)^x

2

400

Which statement about p(x)=-5(3)^x is true? (Number 5 on packet)

d: the range is all real numbers less than 0

500

Number 12 on your review packet! 

In a lab, a scientist watch how fast a virus replicates. The data she records can be modeled by the function, v(t), where t is the total number of viruses and t is time measured in hours. Which prediction is closest to the number of viruses after 24 hours? (rounded to the nearest hundredth)

b: 181.53

Exponential Functions 3

100

If a graph is going downward from left to right, then it is ______.

decreasing

200

Every exponential function has a ______ asymptote.

horizontal

300

Number 10: which graph matches f(x)=-4^x

Graph #1

400

(Number 8) The table shows the number of bacteria in a petri dish over a three-hour period. Which function can be used to model the number of bacteria in the dish?

a: f(x)=240*3^x

500

Given this equation: 6(0.75)^x​

The function is decreasing at a rate of ___%

​​​​​​​

25%