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2021 Spring S10 Final Review
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What happens to A' if A is on the invariant line in a stretch?
A' is A.
What happens to the equation of a line when the center of enlargement is located on the line itself?
The equation does not change.
Find the final equation
y=-3x/2+3
Find the equation of the new function.
y=x/2-3/2
Find
a. y=(x-1)/3; b. y=4x-2
Find
f(x) = 7-8x
State the domain and range
x > 5 and y > 0
State the domain and range.
x = all real numbers except 5; y = all real numbers except 0.
Identify domain, range and asymptotes
x = all real numbers; y >=-1; no asymptotes
Which ones have an inverse (one-to-one)?
a, b, c, f
Solve for x
x = 5; -20
Solve for x
x = sqrt(13)
Using change of base rule, what is logb(a)
logc(a)/logc(b)
The area affected by the insects is given by A = 1000 * 2^(0.7n) hectares, where n is the number of weeks after the initial observation. How long will it take for the affected area to reach 5000 hectares?
3.3 weeks
Write without logarithms:
M=e^(3a)/2
Write in terms of ln(a): -ln(2)
ln(1/2)
What is
M=(a^3/32)
What is
-2
What is
3/2
What is
lg(8)
What is lg(A^n)?
n* lg(A)
What is
14
What is
2/5
What is
-1/2
What is the inverse function of f(x) = a^x
f^(-1)(x) = loga(x)