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WorksheetsReview 11/3
Total questions: 200
Worksheet time: 18hrs 45mins
log416
log416
Find the corresponding graph of
−log2(x)+3
Find the corresponding graph of
log3(x−1)+4
Logarithmic functions have...
Vertical asymptote at x=0
Vertical asymptote at x=1
Horizontal asymptote at y=1
Horizontal asymptote at y=0
Find the corresponding graph of
−log4(x+1)+2
R: all real numbers
R: y ≥ 0
R: y ≥ 3
R: y ≤ 3
f(x) = log 3 (x + 1)?
Find the domain (all possible inputs) of -ln(x-2)+3
all real
(-∞,2)
(-∞,3)
(2,∞)
Find the Range (all possible outputs) of -ln(x-2)+3
all real
(-∞,2)
(-∞,3)
(2,∞)
Which function has a vertical asymptote?
exponential
logarithm
both
neither
Which of the following has a vertical asymptote at x=4
y=2x−4
y=log2(x−4)
y=2x+4
y=log2(x+4)
log4 x = 3
Solve: log2(x)=3
8
6
9
None of the above
Solve: log5(x)=0
0
1
5
Undefined
Solve
1
0
-1
Undefined
x is undefined
x = 2
x= 0.4
x = 33
Solve for x.
log(3x+5)=log(17)
x = 5
x = 4
x = 12
x = 3
Solve log8(3x+7)=log8(7x+4)
x=43
x=3
x=6
x=34
Solve log2(x+8)=log264
x=16
x=24
x=56
x=40
Solve log2(2x - 3) = log2(4x + 5)
4
-4
-.33
.33
Condense into a single log:
log67
log64
log6310
Condense 3logx+4logy +logz
log x3y4z
12log xyz
log 3x4yz
Expand
6log4 u−36log4 v
log4 u−6log4 v
6log4 u+36log4 v
6log4 u ÷36log4 v
Choose the correct expanded common logarithm:
log(4x)
log4−logx
log4+logx
4logx
xlog4
Choose the correct expanded common logarithm:
log(yx)
logx+logy
xlogy
log(x−y)
logx−logy
Which of the following is NOT a part of the transformations for the function?
Vertical Stretch by a factor of 2
Horizontal Shift Right 1/2 units
Horizontal Stretch by a factor of 6
Vertical Shift Up 3 units
Given the function, which of the following correctly describes the transformations?
reflection over the x-axis, vertical stretch by 3, horizontal shift left 1 and vertical shift down 5
reflection over the y-axis, vertical stretch by 1/3, horizontal shift left 1 and vertical shift down 5
reflection over the x-axis, vertical compression by 1/3, horizontal shift left 1 and vertical shift down 5
reflection over the x-axis, vertical stretch by 1/3, horizontal shift right 1 and vertical shift down 5
Which of the following correctly describes the domain and range for the function graphed?
D: [-5, infinity) R: (-infinity, 4]
D: [-5, infinity) R: [4, -infinity)
D: (-infinity, infinity) R: (-infinity, infinity)
D: [4, infinity) R: (-infinity, -5]
Describe the interval of increase/decrease for the function graphed.
decreasing (-infinity, infinity)
increasing (-infinity, -5)
decreasing (-5, infinity)
decreasing (5, -infinity)
Describe the end behavior for the function graphed.
Which of the following is NOT true about the function graphed.
The function is increasing over the interval (-infinity, infinity).
The function is translated 2 units left and 3 units up.
The function has rotational symmetry 180o about the point (-2, 3).
The function has no x-intercept.
Check off all transformations taking place in the following function. f(x)=x−9+3
Shifting Up 9
Shifting down 3
Shifting right 9
Shifting left 9
Shifting up 3
What is the "vertex" (endpoint) of the following function?
f(x)=−3x+6−3
(6, 3)
(-6, 3)
(-6, -3)
(3, -3)
What is the turning point of the following function?
f(x)=x−6+5
(6, 5)
(-6, 5)
(-6, -5)
(6, -5)
Describe the transformation.
Left 1unit, Reflect over x-axis, up 2 units
Left 1unit, Reflect over y-axis, down 2 units
Right 1 unit, Reflect over x-axis, up 2 units
Right 1unit, Reflect over y-axis, up 2 units
Which is an equation that shifts the graph of the function above to the left 5 units?
Solve for x.
x=5
-1
-3, 25
-25
25
Solve for x.
x=5
-1
-3, 25
-25
25
Solve for x.
x +3=2
2
5
1
-2
-7
7
5
-6
0
1
-1
no solution
45
15
-15
-45
Which is an equation that shifts the graph of the function above to the left 5 units?
What function best describes this graph?
f(x)=−x+4−2
f(x)=x−4−2
f(x)=−x−4−2
f(x)=x+4+2
Which of these equations shifts a radical equation right 5 times and down once?
f(x)=x−5−1
f(x)=x+5−1
f(x)=x−5+1
f(x)=x+5+1
Which of these equations shifts a radical equation left 3 times?
f(x)=x+3
f(x)=x−3
f(x)=x+3
f(x)=x−3
Solve and check your solution(s).
x = 1
x = 9
x = all real solutions
x = 9, 1
-8
3
10
8
3
2
-8
3
10
8
3
2
-4 2
-6 -6
-4 -6
-6 2
9 5
42 35
7 1
30 -5 0
30 -5 0
11 4 5
-30 5 0
0 -1
8 -13
0 1
-8 1
A2x3 B2x5
17 12
8 -10
-15 -8
-1 -3
7 -1
1 -4
-6 0
8 1
7 1
0 1
"5m/s2"
"A Pygmy Alligator"
"80"
The order of a matrix is written as
number of rows x number of columns
number of columns x number of rows
a multiple
a number
The order of the matrix is
2 x 3
3 x 2
Element G22 is
1
2
3
4
What is the name of each entry of a matrix?
Row
Element
Dimension
Numbers
In Matrix R (pictured) what element is r23?
8
9.01
6
1
-4 2
-6 -6
-4 -6
-6 2
-8
3
10
8
3
2
-8
3
10
8
3
2
30 -5 0
30 -5 0
11 4 5
-30 5 0
Can the operation be performed?
Yes
No
Sometimes
only Ms. Jones knows
What must be true in order to ADD two matrices?
They must be square.
The size must be equal.
The determinant can't equal 0.
The column of the 1st must equal the row of the 2nd.
What is the value of element a23?
2
-1
6
1
Find the value of x and y if they are equal matrices.
x=2 , y=5
x=3, y=3
x=3, y=5
x=5, y=3
Can the operation be performed?
Yes
No
Find B-A
-3 1
7 -1
1 0
1 -4
4 0
-6 1
not possible because rows do not match columns
0 -1
8 -13
0 1
-8 1
8 1
7 1
0 1
6 -8
-5 -11
-6 -12
5 -2
5x + 4 = 24
5y - 3rx + 7
61 - 4 + 8t = 6
8y +10 = 1
A (a) is a function that can be written in the form
p(x)=⋯xn+⋯xn−1+ ... +⋯x2+⋯x+⋯ ,
where the coefficients, represented by each ⋯ , are complex numbers and the exponents are nonnegative integers.
the number in front of the variable
exponent
equation
function
coefficient
A function in the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.
Linear function
Exponential function
Quadratic function
Polynomial function
What is a Polynomial?
an expression with no terms
an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
an expression with one term
an expression with two terms
What does End Behavior mean?
the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
how a graph acts when it is graphed
the behavior of a graph when it is put into the calculator
the opposite of good behavior
We can say that a polynomial is factored completely when
we factor using a calculator.
we combine the like terms.
we factor as much as we can and we are unable to factor any more.
we factor a little bit.
What is the first step of factoring by grouping?
Do the AM method.
Split into two separate groups.
Find a GCF.
Nothing.
What is the first step of factoring by grouping?
Do the AM method.
Split into two separate groups.
Find a GCF.
Nothing.
This is an example of
synthetic division
long division
factoring completely
factoring by grouping
This is an example of
Synthetic division
Long division
Factoring by Grouping
Factoring Competely
Which is an example of repeated solution?
x = 0, 1, 2
x = 2, -2
x = 1, -2, 1
x = 3, 2, 0
An x- intercept is
where the line crosses over the y-axis
when the graph intercepts the y-axis
when two lines intersect
where the line crosses over the x-axis
A polynomial with the highest degree of 4 is what type of function?
Cubic
Quadratic
Quartic
Linear
The factoring method FOIL stands for what?
First, Outside, Inside, Last
First, Outer, Inner, Last
I don't know
aluminum foil
Which of the following are another word for x-intercept? (Select All That Apply)
Roots
Solutions
y-intercepts
Zeros
What formula is this? (a^2 - b^2) = (a + b) (a - b)
Difference of Two Squares (DOTS)
Difference of Cube
Slope Formula
Quadratic Formula
What formula is this?
Difference of Two Squares (DOTS)
Difference of Two Cubes
Slope Formula
Quadratic Formula
What is a method for factoring?
(a)
f(x) = x2- 8x + 15.
The characteristic used to describe a sample
population
parameter
data
statistic
the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores.
variance
mean
median
mode
the middle score in a distribution; half the scores are above it and half are below it
variance
median
mode
mean
the most frequently occurring score(s) in a distribution
outlier
median
mode
mean
The likelihood of an event happening is _________.
percentage
probability
parallel
predictions
square root function
cube root function
cubic function
logarithm (log) function
rational function
square root function
cube root function
cubic function
logarithm (log) function
rational function
{2, 3}
(- ∞ , 2] U [3, ∞ )
all real numbers
(2, 3)
(- ∞ , -2]
y ≤ -2
{y | y ≤ -2}
{-2}
