Reference no: EM132931261

Question 1: Given the function f(x)=x^2+7, which of the following transformations will NOT maintain the symmetry of the graph of the function?

Reflection over the x-axis
Reflection over the y-axis
Vertical translation
Horizontal translation

Question 2: Given f(x)=x^2-7x+10 and g(x)=x+1, which of the following represents f(g(x))?

f(g(x))=x^2-5x+4
f(g(x))=x^2-7x+4
f(g(x))=x^2-7x+11
f(g(x))=x^2-6x+11

Question 3: Given f(x)=x^3-12 and g(x)=?(x+12), are f(x) and g(x) inverse functions? *

No, only f(g(x))=x.
No, only g(f(x))=x.
No, neither f(g(x)) nor g(f(x)) is equal to x.
Yes, f(g(x))=x and g(f(x))=x.

Question 4: Find f(x) and g(x) such that f(g(x))=h(x) and h(x)=|x+12|-5. *

f(x)=|x+12| and g(x)=x-5
f(x)=|x| and g(x)=x+12
f(x)=|x|-5 and g(x)=x+12
f(x)=|x|-5 and g(x)=x

Question 5: Given f(x)=3x+2 and g(x)=4-5x. Find (f-g)(x). *

-2x-2
-2x+6
8x-2
8x+6

Question 6: Given f(x)=3x+2 and g(x)=4-5x. Find (fg)(x). *

-15x^2+2x+8 1
5x^2-2x+8
12x^2-7x-10
2x

Question 7: Given f(x)=√(2x-7), find the domain of f(x). *

x≠7/2
x ≥ 7/2
x>7/2
All real numbers

Question 8: In triangle ABC, C=37 degrees and AB=11. What is the length of AC? *

11sin(37)
11/sin(37)
11cos(37)
11/tan(37)

Question 9: If the point (3, 10) is on f(x), which point will be on f(x)+3? *

(6, 10)
(0, 10)
(3, 13)
(3, 7)

Question 10: If the point (3, 10) is on f(x), which point will be on the inverse of f(x), f^-1(x)? *

(-3, -10)
(-10, -3)
(3, -10)
(10, 3)

Question 11: What is the domain of h(t)? *

(6, 18)
[0, 16]
(1.5, 6)
[0, 6]

Question 12: Which of the following is the parent function of the function graphed below? *

f(x)=x^2
f(x)=|x|
f(x)=sqrt(x)
f(x)=x^3

Question 13: Find the measure of angle B. *

36.9°
53.1°
14.3°
47.2°

Question 14: Given f(x) and g(x), how has f(x) been transformed to obtain g(x)? *

f(x) = x³

g(x) = 3 (x+1)³

Vertical shift up 3 units, horizontal shift right 1 unit
Vertical stretch by a factor of 3, horizontal shift left 1 unit
Vertical stretch by a factor of 3, vertical shift up 1 unit
Vertical shift up 3 units, horizontal shift left 1 unit

Question 15: What is the range of the function below?

[-4, 0]
[-8, 6]
All real numbers
(-∞,0)

Question 16: Over what interval is the function increasing? *

(-∞,0)
(-2, 2)
(-4, 0)
The function is not increasing

Question 17: Over what interval is the function decreasing? *

(-∞,0)
(2, ∞)
(-4, 0)
The function is not decreasing

Question 18: Over what interval is the function positive? *

At x=2
(-2, 2)
(-4, 0)
The function is not positive

Question 19: State whether f(x)=2x^4 is even, odd, or neither. *

Even
odd
Neither
Cannot be determined by the information given

Question 20: State whether f(x)=(2/x)+2x is even, odd, or neither. *

Even
odd
Neither
Cannot be determined by the information given