These Logs Don't
Lies
Lies
Evaluate
log_2(8)
What is 3?
Find the next 3 terms
12, 7, 2, ...
-3, -8, -13
If f(x)=3x-5 , what is
f^-1(x)?
f^-1(x)=(x-5)/3
Describe the transformations on f(x) , if
g(x)=-f(x+2)
Left 2
Vertical reflection
Rewrite in exponential form.
log_5(125)=3
5^3=125
Write an equation that models this sequence and find the 11th term.
2, 5, 8, ...
32
Verify that these two functions are inverses by finding
f(g(x))
f(x)=2x-1 and g(x)=(x+1)/2
f(g(x))=x
What type of dilation is occurring here?
g(x)=f(1/3x)
Vertical or horizontal?
Stretch or compression?
Horizontal stretch.
Expand completely:
log(x^2y)
2log(x)+log(y)
Find the 6th term of the geometric sequence.
3, 6, 12,...
96
Find the inverse of
y=x^2+4
sqrt(x-4)
Describe all of the transformations. f(x)=x^2
g(x)=-2(x+1)^2
1. left 1
2. Horizontal flip/reflection
3. Vertical stretch of a factor of 2
Solve for x.
log(x-1)=2
x = 101
A sequence is defined by a_1=4, a_n=a_(n-1)+5 , find
a_5
24
The domain of f(x) is [1, oo) , what is the range of f^-1(x) ?
[1, oo)
Let f(x)=sqrtx
Let g(x) be a transformation of f(x) where
f(x) is moved 1 to the left, vertically flipped, and moved 5 up.
Write g(x).
g(x)=-sqrt(x+1)+5
Solve for x.
log(x)+log(x-3)=1
x=5
You do not get points if you include x = -2 because that is not in the domain of log(x)
Write an explicit formula for the sequence
4, 12, 26, 108,...
a_n=4*3^(n-1)
If f(x)=5x-2
What is f^-1(13) ?
3
What is the horizontal shift (directions + units)
g(x)=2f(-x+4)-7
Right 4