HAs, VAs, Slants, None
The asymptote for
f(x) = e^x ?
y = 0
The min for
f(x) = x^2 + 4x ?
- 4
4^x = 8 ?
3/2
5^(3x-1) = 125
4/3
To one decimal, #2, p. 385 (a) and (b).
7.5; base
The asymptote for
f(x) = e^-x -2 ?
y = -2
The max for
f(x) = -2x^2 + 4x - 5 ?
- 3
125^x = 25 ?
2/3
8^x = 1024
10/3
Answer in scientific notation to two decimal places: #6 p. 385.
1.58 * 10^-3 to 1.58 * 10^-4
f(x) = (x^4 - 2x^3 - x^2 + 3)/(x^2 - 3x - 5
No HA; No slant; VA: x = (3 + - rad 29)/2
log (1000)
3
4 + 3 log(2x) = 16 ?
5000
4 - log(3-x) = 3
-7
To two decimal places, #10 (a) only p. 386.
5.86
The VA is x = 3. What other asymptote is there for
(x^2 -4x - 5)/(x- 3) ?
slant asymptote
8^(3/2)
16sqrt2
log [(x+2)(x-1)] = 1 ?
x = 3, -4 both are in domain as problem is written.
log x + log (x - 1) = log (4x)
5
Rounded to the nearest 100, #12 p. 386.
2500 times more intense
What are the equations for the two asymptotes for:
f(x) = (x^2 - 4x - 5)/(x - 3)
VA: x = 3; Slant: y = x -1
ln e^7
7
4 - log(3 - x) = 3 ?
x = -7
Give both answers for
2logx = log2 + log(3x - 4)
2,4
Give the answer as
10^x W/m^2 for #18 p. 386.
10^-2.2 W/m^2