Ch. 7 Review

Exponents

100

(3x)^0/(2a)

1/(2a)

200

36^(x-2)=6

5/2

300

81^(5/4)

243

400

(-8x^2y^2)^2/(4x^3y)^3

y/x^5

Scientific Notation

100

Express in scientific notation.

0.0000543

5.43*10^-5

200

Earth has a diameter of about 8000 miles. Jupiter has a diameter of about 88,000. Write in scientific notation the ration of Earth's diameter to Jupiter's diameter.

9.1*10^-2

300

(2.8*10^-4)(7.7*10^9)

2.156*10^6

400

(2.05*10^-8)/(4*10^-2)

5.125*10^-7

Exponential Functions

100

Graph. Find y-intercept and state domain and range.

y=3^x+1

y-intercept 2; D= all real numbers; R={yly>1}

200

Graph. Find y-intercept. State domain and range.

y=4^x+2

y-intercept 3; D= all real numbers; R= {yly>2}

300

Graph. Find y-intercept. State domain and range.

y=2^x-3

y-intercept -2; D= all real numbers; R= {yly>-3}

Growth and Decay

100

Find the final value of $2500 invested at an interest rate of 2% compound monthly for 10 years.

$3053.00

200

A weight lifter can bench-press 165 pounds. She plans to increase the weight W(x) in pounds that she is lifting according to the function W(x)=165(1.05)^x, where x represents the number of training cycles she completes. How much will she bench-press after 4 training cycles?

about 201 lbs

300

Determine the amount of an investment if $700 is invested at an interest rate of 8% compounded monthly for 9 years.

$1434.67

Recursive Formulas

100

Find the first three terms of the sequence.

a₁=5, a_n=a_n-1-3, n is greater than or equal to 2

5,2,-1

200

Write a recursive formula for the sequence.

2,7,12,17,....

a₁=2, a_n=a_n-1+5

300

Write a recursive formula.

32,16,8,4,...

a₁=32, a_n=0.5a_n-1