MST Trig Midterm Exam Review With Correct Actual Questions And Well Defined Answers.
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Course
MST 225
Institution
MST 225
Given f(x) = 3x^2 - 4, find f(a-2) - correct answer 3a^2 - 12a + 8
*Plug in a-2 for x*
Find the zero of f(x) = -(2/3 x) - 8 - correct answer x = -12
*Solve for x*
Determine whether the graph of y = 5x^3 - 2x is symmet...
Find the zero of f(x) = -(2/3 x) - 8 - correct answer x = -12
*Solve for x*
Determine whether the graph of y = 5x^3 - 2x is symmetrical with respect to the x axis, y axis, or origin. -
correct answer Origin
*Graph*
Determine whether the function f(x) = x / (x^2 + 1) - correct answer Odd
**
Describe the end behavior of the graph of g(x) = 3x^3 -2x - correct answer As x
approaches -infinity, y approaches -infinity.
As x approaches infinity, y approaches infinity.
*Graph*
The height of a firework T seconds after it is launched is modeled by h(T) = -16T^2 + 115T + 8. Find its
average speed from 4 to 7 seconds. - correct answer -61 ft/sec
*h(4) = 212, h(7) = 29. Average the two numbers*
Given f(x) = -2[x-1.8], what is f(-12)? - correct answer 28.
*The [ ] simply rounds the numbers to the least specific digit*
Describe the transformations relating the graph of g(x) = (4x-1)^2 to the graph of its parent function f(x)
= x^2. - correct answer Right 1/4 and compressed.
, *Graph, or secondary number in parentheses over number in front of the x is equal to the shift, the 4
compresses the graph*
A cone with a height of 21 cm is shown on a computer screen. The animator increases the radius at a
rate of 4 cm per min. Write the function that gives the volume of the cone as a function of time. -
correct answer v = 112(pi)t^2
*r = 4t, v = 1/3 wr^2 x 21. Substitute the equations and simplify*
Find the inverse of f(x) = x^3 - 6. - correct answer y = cube root of (x+6)
*Switch x and y, then solve for y*
Horatio saves 5% of every paycheck plus $50. Write the function that can be used to find the amount of
his paycheck given the amount he saves. - correct answer A = .05x + 50
*x is the paycheck amount*
A rectangular swimming pool with length 50 ft and width 30 ft is surrounded by a sidewalk. Write a
function describing the area of the sidewalk. Then find the width if the area is 900 ft. - correct answer
a = 4x^2 + 160x
*The sidewalk is of x width, so two sides would be 50x, and two would be 30x (multiply to get 160x). The
corners are x by x feet, so four corners of x^2*
w = 5 ft
*Plug into equation*
Write a polynomial function of least degree with real coefficients that has zeros 4, -4, 1, -1, -1, 3i, and -
3i. - correct answer f(x) = x^6 - 8x^4 - 137x +144
*(x+4)(x-4)(x+1)(x-1)(x+3i)(x-3i), then solve/simplify*
How many negative real zeros could f(x) = 8x^4 - 2x^3 = 5x^2 +2x - 11 have? - correct answer
1
*Plug in -x for x, and count the sign changes*
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