Linear Functions/ Domain and Range
Graphs
Polynomials
Logarithms
Wild Card
100
Find the slope of the line passing through the points (-9, -6) and (-4, 5).
11/5
100
Determine the intervals where the function is strictly increasing, decreasing, and constant. Write as a list of intervals.
Decreasing: (3,5)
Increasing: (-4,-1)
Constant: (-5,-4), (-1,3), (5,7)
100
What is the end behavior for the following function:
h(x) = (x-3)2(x2-1)
Rise to the right rise to the left
100
Rewrite as a logarithmic equation.
25 = 32
log232=5
100
Use the change of base formula to compute log3(1/5)
Round to the nearest thousandth.
-1.465
200
Write the equations of the horizontal and vertical lines passing through the point (-8,5)
y=5
x=-8
200
What is the function that best describes this graph:
f(x) = x3
200
List each zero and whether it touches or crosses the x-axis
f(x) = (x-3)2(x2-1)
3 - touches
1 - crosses
-1 - crosses
200
Use properties of logarithms to expand the following logarithmic expression.
log(xy7)
log x + 7 log y
200
Find the inverse
g(x) = 3x-4
g-1(x) =(x+4)/3
300
Find the domain and range of graph h
Domain: [-2,5)
Range: (-5, 3]
300
Find the local maximum values of f and all values at which f has a local maximum.
f:
Local maximum values: 0, 3
All values at which f has a local maximum: -2, 2
300
Find the y intercept
(x-3)2(x2-1)
(0,-9)
300
Solve for x
38x=81x-4
x = -4
300
Find the horizontal and vertical asymptotes of the following rational function.
f(x) = (x2-2x-3)/(2x+5)
x= -5/2
No horizontal asymptote
400
Find the equation of the line passing through the point (8,3) which is perpendicular to the following line:
y= (-8/7)x+2
y=(7/8)x-4
400
Below is the graph of y = |x|. Translate it to make the graph of y = |x-2|+3
400
Graph the following polynomial:
f(x)=(x-3)2(x2-1)
400
Solve for x. Give your answer rounded to the nearest hundredth.
4-3lnx = 3
1.40
400
h(x) = (x+6)(x-3)
g(x) = 5x-5
What values are not in the domain of (h/g)?
x≠1
500
Find the domain of the following function. Write your answer in interval notation.
f(x) = 6 + √(40-8x)
*(40-8x) is under the square root
(-∞,5]
500
Find the equation of the following graph
y= -2(x-2)2-4
500
Solve the following polynomial inequality. Write your answer in interval notation.
(x+8)2(x+2)≥0
[-2,∞)
500
Solve for x.
-7 + log4(x+7)= -4
x = 57
500
f(x) = x2+6
g(x) = √(x+1)
Note: x+1 is under square root
Find f(g(3)) and g(f(3))
Are they inverses of each other?
f(g(3)) = 10
g(f(3)) = 4
No.