FINAL EXAM Review
  • 1. Find the range of y = 5x - 13 + 2
A) y ≥ 2
B) y ≠ 2
C) y E R
D) y > 2
E) y > 13
  • 2. In an arithmetic sequence, t(18) = 621 and t(89) = 1544. Determine t(2009).
  • 3. A car is depreciating at the unfortunate rate of 14.19% each year. When new, the car was worth $28,990. How much will it be worth in 13 years? Include the $ sign in your answer, and round to 2 decimal places
  • 4. Find the domain of y = (2x - 7)1/2 - 11
A) x E R
B) x ≥ 7
C) x > -11
D) x ≥ 3.5
E) x > 7
  • 5. The fraction 1/25 is equivalent to all of the following except....
A) 5(125)-1/3
B) 125-2/3
C) 3125-2/5
D) ((5-1)4)1/2
  • 6. If a 5 x 7 matrix is multiplied into a 7 x 2 matrix, the product would have what dimensions?
A) 2 x 5
B) 5 x 2
C) 7 x 7
D) not possible
  • 7. If a 6 x 9 matrix is added to a 6 x 9 matrix, the sum would have what dimensions?
A) 6 x 6
B) 6 x 9
C) 9 x 9
D) not possible
  • 8. All of the following have asymptote(s) except:
A) Exponential Functions
B) Hyperbolas
C) Logarithmic Functions
D) Polynomial Functions
  • 9. (i3)(i33)(i333) simplifies to...
A) -1
B) i
C) -i
D) 1
  • 10. (3i57 + 5i58 + 7i59) simplifies to...
A) 5 - 4i
B) -5 + 4i
C) 5 + 4i
D) -5 - 4i
  • 11. ( ( (i-20)-21)-22) simplifies to...
A) -i
B) -1
C) 1
D) i
  • 12. Determine the degree of g(x) = -x16(x2 - 1)(x3 + 1)
  • 13. Find the domain of y = 16.25 log8(2x + 3) - 4
A) x > 16.25
B) x > -1.5
C) x > -3
D) x > -4
E) x E R
  • 14. Determine the range of y = 16.25 log8(2x + 3) - 4
A) y > -4
B) y ≥ -4
C) y E R
D) y ≥ 8
E) y > -3
  • 15. What is the launch point of y = (0.2)5x+3 - 4
A) (-3, -3.8)
B) (3, -3.8)
C) (-3, 4.2)
D) (-3,-4)
  • 16. A parabola travels through the points (-7,- 44), (-2,-89) and (6, 255). Find its vertex. Express your answer as a data point, with full decimals, in parentheses.
  • 17. NONE of the following is a function except:
A) Sleeping Parabola
B) Circle
C) Absolute Value
D) Vertical Line
  • 18. ALL of the following have domain of x E R except:
A) Exponential Functions
B) Logarithmic Functions
C) Polynomial Functions
D) Non-vertical Lines
  • 19. (4 - 10i)(5 - 2i) equals...
  • 20. A quadratic equation has roots of 1 + 9i and 1 - 9i. What is the equation?
A) y= x2 + 82
B) y = x2 + 2x + 82
C) y = x2 - 2x + 82
D) y = x2 - 2x + 10
  • 21. A 9th degree polynomial function has 2 single roots, 2 double roots, and a triple root. How many x-intercepts does it have?
A) i
B) 9
C) 5
D) 3
E) Unable to determine
  • 22. All of the following graphs have a VERTEX except:
A) Parabolas
B) Sleeping Parabolas
C) Square Root Functions
D) Absolute Value Functions
E) Hyperbolas
  • 23. Solve for x: (x2/5)(x1/4) = 31. Please express your answer rounded appropriately to 2 decimal places.
  • 24. A virus at first infects 66 people and then begins spreading, increasing by 29% each week. How many people will be infected after 13 weeks? Round your answer to the appropriate whole number of people.
  • 25. My partner and I will list our names below. Also, here is something we just found out about each other!
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