Download Honors Pre-Calc Unit 2 Test

Honors Pre-Calc Unit 2 Parallel Review
**1. State the vertex of y = 3(x + 1)2 + 5 and determine if it opens up or down.
**2. Determine the value of the x-intercepts and y intercept for the function
g(x) = 5x2 + 2x – 1 (F-IF.7a)
*3. How do you determine the end behavior of a graph (rise or fall)? Give an example.
5
**4. Use the conjugate of the denominator to write in standard form:
2  3i
**5. Divide x5 + 3 x4 –2 x – 1 by x – 3
*6. Divide (9x3 – 18x2 – x + 2) by (3x + 1)
**7. Multiply and simplify completely: (3 -2i)(5 + i) – 6i.
*8. Plot the number 3 – 2i on the complex plane. (Sketch the real and imaginary axis)
**9. Use the fundamental theorem of algebra to list the zeros for 2x(3x – 1)2 = 0 and
state the multiplicity.
**10. State the zeros of f(x) = (x - 1)(x – 2)(x+1) and sketch the graph of the function
using end behavior and intercepts.
zeros: __________________
**11. Rewrite the quadratic function in the form f(x) = a( x – h )2 + k for
f(x) = 2x2 – 4x + 5
**12. Factor the expression g(x) = x2 + 3x + 2 to determine the zeros.
**13. Determine the vertex and determine if it is a minimum or maximum for
h(x) = x2 + 6x + 1
**14. Solve the equation x2 = 5x –3.
**15. Use the remainder theorem to determine the value of f(-2) if
f(x) = x3 + x2 – 3x + 1.
**16. Find the quadratic function that has a maximum at (2, -3) and passes through the
point
(1, -5)
**17. Find all of the zeros of f(x) = 2x3 + x2 + 1 given that x = -1 is a zero
**18. Write a polynomial function having 0, 2, and – 3 as zeros.
**19. Find a third degree polynomial function that has 1, and 2 + i as zeros.
**20. Factor and determine the zeros of f(x) = x3 – 2x2 – 7x – 4.
Essential Questions (Answer one of the following)
***21. How do the graphs of polynomial functions allow one to interpret real life
situations?
***22. What are complex numbers used for today?