Interval notation Type Inequality a, ) closed x a (a, ) open x a (- ,b closed x b (- ,b) open x b (f g)(x)= F(g(x) (f+g)(x)=f(x)-g(x) (fg)(x)=f(x)g(x) f (x)=f(x) g g(x) a-b =Distance d(P,Q)= (x -x ) +
Problem #1.
b
b b
b
b
b b
b
Problem #2. x y
z
Problem #3. .
a
Problem #4. x x x x
x y xa x
a
xy
x
x x
y y y x x
x x
Problem #5.
x x Problem #6
Problem #7.
SUMMARY OF TRANSFORMATIONS a f(cx+d) + b (b, d > 0)
Vertical (change y-coords) stretch/shrink/reflec t:
(multiply y-coords by a)
Horizontal (change x-coords) translation (shift):
(x-coords (-d)
|a|
Summary of Difference Quotients
(a+h,f(a+h)
Difference Quotient:
f ( a h) f ( a ) h
f(a+h)-f(a)
(a,f(a) y=f(x)
Slope of secant line between the points (a,f(a) and (a+h, f(a+h)
h
In general, as
MTH 116 Final Exam Review
Greg Sulisz
Strategies and rules for the final exam.
1. No one can leave the room during the exam, so take care of any activities that require not being in the room before th
MTH 116
FS 2016
Problem Set 1
Name: _
PID: _
Section: _
Date: _
Box your answers.
1. (2 points.) Simplify the following expressions.
Hint: Work with the numerator first. Make a single fraction there.