Pre-Calculus Practice Midterm
1. Determine the end behavior of the function y = -8x4 +2x2 – x + 6
a. x  ∞
x-∞
:y∞
:y∞
b. x  ∞
x-∞
:y-∞
:y-∞
c. x  ∞
x-∞
:y∞
:y-∞
d. x  ∞
x-∞
:y-∞
: y ∞
2. Write the equation of the following graph.
a. ½ (x – 1)(x + 3)(x + 4)
b. (x – 3)(x + 2)(x – 1)
c. 2(x – 1)(x + 4)(x – 3)
d. (x + 2)(x – 4)(x + 6)
3. Find the root of the following polynomial y = 5x5+3x3-2x+10
a. 2.36
b. -1.53
c. -1.10
d. 1.59
b. f-1(x) = 4 – x2
c. f-1(x) =
d. f-1(x) = x2 – 4
5. What line is y = (x – 3)2 + 6 symmetric about?
a. x = 0
b. x = 3
c. x = - 3
d. y = 6
4. What is the inverse of the f(x) =
a. f-1(x) =
?
6. Describe the following translations occurring on the original function y = f(x). y = 2f(x + 1)
a. shifts right by 1
b. shifts left by 1
c. shifts up by 1
expands
condenses
expands
d. shifts down by 1
condenses
7. What is the equation of the following graph?
𝑥 2 −4
a. 𝑦 = 𝑥 2 +5𝑥+6
𝑥−4
c. 𝑦 = 𝑥+6
𝑥 2 −2
b. 𝑦 = 𝑥 2 −5𝑥+1
𝑥+1
d. 𝑦 = 𝑥+4
8. What is f(g(3)) where f(x) = x2 and g(x) = x + 2
a. 20
b. 13
c. 25
d. 11
9. Solve 9x + 3 = 11
a. 0.946
c. 2.234
d. 7.980
b. 1.057
10. Solve 5(x+2) = 125(3x+6)
a. 0
b. -1
c. 3
d. -2
11. Solve (2log4x) + 6 = 10
a. 8
b. 32
c. 4
d. 16
12. Which of the following is an equation of exponential decay?
a. y = 2x – 4
b. y = 2e3x
c. y =2(¼)x
13. Convert
a. 405˚
d. y = 3(4)x
radians into degrees.
b. 400˚
c. 810˚
d. 300˚
14. What is cosƟ, given sinƟ = 3/5 in quadrant 2?
a. 5/3
b. -4/5
c. 4/5
d. 3/-4
15. Write sin 340˚ in terms of its reference angle
a. sin 20˚
b. sin 30˚
c. – sin 20˚
d. sin - 20˚
16. What is the exact value of tan145˚?
a.
b.
c. 1
d. -1
17. What is the exact value of csc(cos-1(12/13))?
a. 5/13
b. -5/13
c. 13/5
d. -13/5
18. A plane flying at 3500 feet above the ground has an angle of descent of 35˚ and is flying towards the airport. How far
away is the plane from the airport at this time?
a. 5032 ft
b. 4273 ft
c. 6102 ft
d. 4999 ft
19. In triangle ABC, <A = 50˚, a = 12, and c = 8. Find <B.
a. 27.1°
b. 59.3°
c. 30.7°
d. No possible triangle
20. In triangle ABC, a = 7, b = 10, and c = 13. Find <B.
a. 22.6°
b. 34.8°
c. 76.2°
d. 12.7°
21. Triangle ABC has an area of 50u2, a = 13 and b = 12. What is <C?
a. 39.9°
b. 40.2°
c. 55.4°
d. 41.7°