GAME+II

Precalculus Nov. 17 Yunhao - Bolin

1. Given the function f(x) = x^2-3x+5, evaluate f(x)- f(8). 1 A x^2-3x+40 1B x^2-3x-45 1 C x^2-3x-40 1 D x-8

2. The graph of y = x^3 is expanded by a factor of 6. Write the resulting function. 2 A y = 6x^3 2 B) y = x^3 – 6 3 C) y = x^3 + 6 D) y = 1/6 x^3

3. The graph of y = |x| is reflected about the x-axis and shifted up 11. Write the resulting function. C 3 A) y = |x| + 11 3 B) y = –|x + 11| 3 C) y = –|x| + 11 3 D) y = –|x – 11|

4. Given the functions f(x) = 12 – 2x and g(x) = 8x + 9, find (f – g)(x). 4 A) –10x + 3 B) –10x – 3 C) –10x + 21 D) 10x + 21

5. Write the function that results from shifting y = x^2 + 4 to the left 3 and reflecting about the x-axis. B 5A) y = –(x + 3)^2 – 4 5 B) y = –(x – 3)^2 – 4 5 C) y = –(x + 3)^2 + 4 D) y = –(x – 3)^2 + 4

6.The graph of y=√x is reflected about the //x//-axis and shifted to the right 7 and up 13. Write the resulting function. A) y= -√x-7 + 13 B) y= -√x+7 + 13 C) y= -√x-13 + 7 D) y= -√x+13 + 7

7. Determine if the relationship //f//={(15,18),(–20,0),(12,0),(–19,3)} is a one-to-one function. A) not a function 7 B) a one-to-one function C) a function, but not one-to-one

8. Let f(x)=x(5x-9)^6 - 18(5x-9)^5 and find the values of //x// that corresponds to //f//(//x//)=0. A) {6/5, -3, 9/5} 8 B) {-6/5, 3, 9/5} C) {-6/5, 3} D) {18, 9/5}

9. Determine if the function f(x)=√(x^2-8) is even, odd, or neither even nor odd. A) even B) odd C) neither even nor odd