If h(0) = -3, then find the other two zeros of h(x). Exact values only (no decimal estimates).
Question 11
11.
Write the equation of a function f(x) in standard form with a degree of 3 and zeros: 5 and -7i.
Question 12
12.
Determine the value(s) of x in the equation.
Question 13
13.
Question 14
14.
Solve for x. No extraneous solutions.
Question 15
15.
Expand the logrithmic expression.
Question 16
16.
Question 17
17.
Rewrite the function as a product of linear factors.
Question 18
18.
Question 19
19.
Question 20
20.
Question 21
21.
Question 22
22.
Question 23
23.
Question 24
24.
Question 25
25.
Convert the angle in DMS to a decimal just in degrees and round to the nearest thousandth:
Question 26
26.
Convert the angle in degrees to DMS (degrees, minutes, seconds):
Degrees: _______
Minutes: _______
Seconds: _______
Question 27
27.
Convert the degrees to radians:
Question 28
28.
Convert radians to degrees:
Question 29
29.
Evaluate. Exact answer only. No decimal estimations.
Question 30
30.
Evaluate. Exact answer only. No decimal estimation.
Question 31
31.
Evaluate. Exact answer only. No decimal estimation.
Question 32
32.
Evaluate. Exact answer only. No decimal estimation.
Question 33
33.
Evaluate. Exact answer only. No decimal estimation.
Question 34
34.
Evaluate. Exact answer only. No decimal estimation.
Question 35
35.
Question 36
36.
Question 37
37.
Question 38
38.
Question 39
39.
A point on the terminal side of an angle 𝜃 is given. Find the exact value of the indicated trigonometric function of 𝜃.
Question 40
40.
Given:
Find the cos𝜃.
Question 41
41.
A building is casting a 60 foot shadow with the sun at an angle of elevation of 45 degrees from the top of the building. What is the height of the building?
Part 2- #42 - 54 Scientific Calculator Only
Question 42
42.
Question 43
43.
Question 44
44.
Question 45
45.
Graph the function f(x). Identify any local extrema by labeling them as a local max. or local min.
Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.
Question 46
46.
Question 47
47.
Question 48
48.
Question 49
49.
Question 50
50.
Question 51
51.
Question 52
52.
Graph the rational function and any asymptotes of f(x) as dashed lines. Graph and label any existing holes as open points or any intercepts as solid points.
Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.
Question 53
53.
Question 54
54.
State the parent function and list the transformations in the order they occur. Graph any horizontal or vertical asymptotes as dashed line. State the x or y - intercepts and label the point.
Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.
Find the domain of
[0, inf)
(-inf, inf)
(-inf, 0) U (0, inf)
(-inf, 0] U [0, inf)
[0, 0]
Find the domain of
[1, inf)
(-inf, inf)
(1, inf)
(-inf, 1]
(-inf, 1)
Find the range of
[4, inf)
(-inf, inf)
(4, inf)
(-inf, 4]
(-inf, 4)
Find f∘g, given
Find the domain of f∘g, given
(-inf, inf)
(0, inf)
[0, inf)
(-inf, 0) U (0, inf)
The following functions are inverses
True
False
The following functions are inverses
True
False
The function f(x) is even.
True
False
Choose the values that could be potential rational zeros of f(x).
0
+/- 1
+/- 2
+/- 3.5
+/- 7
+/- 0.5
Solve for x. Exact value only.
The half-life of caesium-137 is 30 years. If an estimated 500 grams was deposited via the atmosphere in 1986 during the Chernobly explosion, how much is still present today in Germany? (Round your answer to the nearest thousandth)
212.667 grams
222.724 grams
222.725 grams
217.638 grams
Determine the transformations that would map f(x) onto g(x).
reflection over the x-axis
reflection over the y-axis
vertical stretch by four
horizontal stretch by four
translation right 2
translation left 2
Determine the correct order of transformations that would map f(x) onto g(x).
Translation right 2 units.
Reflection over the x-axis.
Reflection over the y-axis.
Translation down 1 unit.
Find f - g.
All cubic functions are bounded either above or below.
True
False
The following function f(x) is increasing on its entire domain.
True
False
All rational functions have removable discontinuity.
True
False
A quadratic function must have at least one real zero.
True
False
Which angles are coterminal with
740 deg
-160 deg
380 deg
560 deg
-200 deg
Which angles are coterminal with
A 12 inch-diameter pizza was cut into 8 equal pieces. What is the arc length of one piece of pizza? Round your answer to the nearest tenth.
1.5
9.4
270.0
4.7
A car traveling 38 mph has tires with a diameter of 26.5 inches. How fast are the car's tires turning in revolutions per minute. If needed, round to the nearest revolution per min.
524 rev/min
955 rev/min
1,514 rev/min
482 rev/min
Determine the zero(s) of f(x).
-2
2
i
-i
-3/2
0
Determine the limit of f(x) as x approaches negative infinity.
0
None of the above.
Determine the limit of f(x) as x approaches infinity.
0
None of the above.
Identify any interval(s) of increasing in interval notation.
(-inf, 0)
(2, inf)
(-inf, 4)
(0, 2)
(-inf, inf)
Identify any interval(s) of decreasing in interval notation.
(2, inf)
(-inf, 4)
(0, 2)
(-inf, 0)
(-inf, inf)
Determine the x-intercept(s) fo the graph of the f(x).