Math 135 Final Exam Paper

Math 135 Final Exam Study Guide The graph of a function is given. Follow the directive(s). 1) y 5 (0.5, 2)

(3.5, 2) 5 (6, -1.1) x

-5

(-5, -3) (-4, -3) -5

(a) List all the intervals on which the function is increasing. (b) List all the intervals on which the function is decreasing. (c) List all the intervals on which the function is constant. (d) Find the domain. (e) Find the range. (f) Find f(-5). (g) Find f(6). (h) Find x when f(x) = 0. (i) Find the x-intercept(s). (j) Find the y-intercept(s).

Find the value for the function. 2) Find f(3) when f(x) = x2 - 3x + 6. 3) Find f(-2) when f(x) = x2 - 9 . x+3

4) Find f(-9) when f(x) = |x|- 6. Determine whether the relation represents a function. If it is a function, state the domain and range. 5) Bob Ann Dave carrots peas squash

1
Lee Mr. Bar

Find the domain of the function. 3x 7) g(x) = x2 - 1 8) f(x) = x2 x2 + 1 4-x

9) f(x) =

For the given functions f and g, find the requested function and state its domain. 10) f(x) = 7 - 6x; g(x) = -9x + 6 Find f + g. 11) f(x) = 6 - 2x; g(x) = -4x + 2 Find f + g. 12) f(x) = 4x - 2; g(x) = 8x - 3 Find f - g. 13) f(x) = 8x - 6; g(x) = 2x - 5 Find f - g. 14) f(x) = 5x + 1; g(x) = 3x - 1 Find f œ g. 15) f(x) = 5x + 3; g(x) = 4x + 8 Find f œ g. 16) f(x) = 5x + 4; g(x) = 4x - 3 f Find . g 17) f(x) = 5x + 3; g(x) = 4x - 5 f Find . g

2

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any. 18)
5 y