Name: ____________________________ Date: ________________________

MCR3U – Choice Assignment #5
Due: Friday, April 13th, 2007

	Please answer five of the following six questions.  Please answer on a piece of paper and staple results to this question sheet.  If you have questions, please let me know tomorrow and we will go through them.  Good luck and have fun!

1) Let f(x) = 4x² + 9x - 3
a) Graph f(x) and f-1(x) by finding the vertex.
b) State the domain and range of f(x)
c) Find f-1(x)
d) State the domain of f(x) to make its inverse a function
e) State the domain and range of f-1(x)

2) Let f(x) = -2x² - 3x + 1.  State the domain and range of f-1(x) so that f-1(x) is a function.

3) Let h(x) = {(-2, 4), (-1, 3), (1, -1), (2, 0)}.  If g(x) = -2h(3x – 2) + 1,
a) state (in words) what the transformations will be to h(x)
b) find g(x)
c) state the domain and range of g(x)

4) Let f(x) = 3x² + 5x – 2.  If g(x) = 2f(-⅓x) – 2,
a) state (in words) the transformations will be to f(x)
b) Find g(x)
c) state the domain and range of f(x) and g(x) (Hint: You may need to graph this)

5) If the domain of f(x) is {x | x < 3, x € R} and the range of f(x) is  
{y | y > 0.5, y € R}, find the domain and range of
a) 3f(x)	b) -2f(2x – 1)		c) f(x + 2) + 3	d) -2.5f(-2x) – 1

6) Let f(x) = 10x² - 5x – 8
a) Find the vertex of f(x)
b) Find the y-intercept (set x = 0)
c) Find the roots (remember that )
d) Graph f(x) and state the domain and range of f(x)