Chapter 1
What is the name of this parent function?
f(x)=x3
cubic
What is the slope of following points (1,1) and (5,2)?
m=1/4
(1+2i)+(3-2i)
4
What is the general form of an exponential function?
f(x)=ax
What is the slope of the line parallel and perpendicular to y=-2x-6
parallel: -2
perpendicular: 1/2
Given the functions f(x)=7x+7 and g(x)=4x+10, find the sum and evaluate when x=5.
f+g(x)=11x+17
f+g(5)=72
Write the equation of a circle that has a radius of 3 and whose center is at (0,0)
x2+y2=9
(3+7i)-(1-6i)
2+13i
What is the general form of a logartihmic function?
f(x)=logax
Over what intervals are the graphs increasing, decreasing, and or constant.
inc: (-inf,-1)(1,3)
dec: (3,+inf)
Given the functions f(x)=7x+7 and g(x)=4x+10, find the difference and evaluate when x=1.
f-g(x)=3x-3
f-g(1)=0
Find the x and y intercepts of the following equation.
y=6x3-2x2
x int- (0,0) (1/3,0)
y int- (0,0)
What is the end behavior of the following function?
f(x)=3.6x5+5x3-1
as x-> +inf, f(x)->-inf
as x-> -inf, f(x)->+inf
Write log416=2 in exponential form
42=16
The point (1,-1) lies on a circle whose center is at (-4,8). Write the standard form of the eqation of this circle.
(x+4)2+(y-8)2=106
Evaluate the following piecewise function when x=4
6
Given the functions f(x)=7x+7 and g(x)=4x+10, fog(x)
fog(x)=28x+77
Use the quadratic formula to solve the folloing quadratic. 5x2-2x+2=0
x=(1+3i)/5 and x=(1-3i)/5
Write the following exponent in logarithmic form.
53=125
log5125=3
Find when f(x)=g(x) give f(x)=x2-2 and g(x)=3x-4
x=3 and x=-2
for f(x)=x2+2x+1 find f(x+h)-f(x)/h (The difference Quotient)
2x+h+2
Write the vertex from of a quadratic function whose vertex is (3,1) and passes through the point (0,10)
y=(x-3)2+1
Why does loga1=0
Because anything to a power of 0=1