Describe the end behavior of an even degree function with a positive lead term
U shape that opens upward
100
What is the asymptote of the function y=2(3)^x+5?
y=5
100
Solve for x, round to the nearest thousandth:
6^x=17
1.5813
200
Simplify the square root of negative 64
8i
200
Must be in a+bi form: (14+6i) + (6-3i)
(20 +3i)
200
Describe the end behavior of an odd degree function with a negative lead term
S shape that moves downward from left to right
200
What is the y intercept of the exponential function y=2(.5)^x-13
(0,-11)
200
Solve for x, round to the nearest thousandth if you have to:
Log base 5 of x = 7
78125
300
Simplify the square root of negative 50
(simplest radical form)
5i times the square root of 2
300
Must be in a+bi form (9+13i) - (4+8i)
5 + 5i
300
What is the equation we use for Direct Variation?
y=Kx
300
What does the b value have to be in order to have an exponential function display growth?
b>0
300
8^(x-4)=20
5.4406
400
Simplify i to the 999th power
-i
400
Must be in a+bi form (3+5i)(7+9i)
-24+62i
400
If x and y vary directly, and x=15 when y=10, find the y value when x=9.
y=6
400
Mike bought a car for $16,000. The value decreases 8% per year. How much will the car be worth in 7 years? Round to the nearest hundredth.
$8925.55
400
2^(x)-14=3
4.0875
500
simplify i to the 754th power
-1
500
Must be in simplest a+bi form: Divide (4+2i) by (3-i)
1+i
500
The amount of chlorine in a pool varies directly with the amount of water in the pool. If there are .3 pounds of chlorine a the pool with 2500 gallons of water, how many pounds of chlorine will be in 17500 gallons of water
2.1 pounds
500
Lisa invested $14,000 into a bank account that earns 7% interest per year. How much will she earn if 19 years if she doesn't add or take out any money? Round to the nearest hundredth.