Download Homework 13

Homework 13
The graph below is a close up look at only the first two quadrants of a normal Cartesian
graph. The objective is for you to graph the functions precisely and then identify patterns
and draw a graph of the fourth function without using a table of values.
1. Use a table of values to make a precise graph of the functions:
a. f(x) = 2x
b. g(x) = 3x
c. h(x) = 4x
d. Look for patterns in the lines, then estimate where the line k(x) = 5x should be
drawn.
x
1
2. The function f ( x)     2 is plotted on the graph below. Use the graph to solve
3
the following problems.
x
1
a.    2  1
3
x=
x
1
b.    2  1
3
x=
x
1
c.    2  4
3
x≈
x
1
d.    2  1.25 x ≈
3
3. For the function f(x) = 6x, find x if f(x) = 36.
4. For the function f(x) = 2x, find x if f(x) = 32
5. An investor puts $1000 into an account that pays 3.5% interest, compounded monthly.
How much will be in the account after 5 years?
6. How much money must be invested at 4% interest, compounded quarterly, so that the
account will be worth $10,000 in 6 years?
7. Use the growth factor portion of the compound interest formula to show why a 100%
return on your investment corresponds with your money doubling and a 200% return on
your investment corresponds to your money tripling. If your business is now worth 4
times what it was worth a year ago, by what percent did it grow?
8. An investor puts $2000 into an account that pays 2.3% interest, compounded daily.
How much will be in the account after 3 years?
9. f(x) = x2 - 2x + 3
x
f(x)
10. y 
x
2
x4
3
f(x)
Family ________________
Family ___________________
y - intercept_________________
Domain_________________
x - intercepts____________
Range__________________