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Polynomial Functions
Factoring polynomials
Rational Function/Inequalities
(Blank)
Logarithms
100
What is the definition of a family of a functions?
a set of functions with a common characteristic
100

When factoring a polynomial, Instead of using long division,we can also use...

synthetic division

100

Every rational function will have a vertical assymptote. True or False 

False

100

What quadrant is -13pi/12 in

Quadrant 2

100

Logarithm are the inverse of

exponential

200
All of the roots of polynomial equations correspond to the x-intercepts of the graph of the corresponding polynomial function. True or False?
true
200
Using long division, we can find...?
Quotient and Remainder
200

What is the equation of the vertical asymptote?

f(x)=(1/(x2−9))+2

x=3 and x=-3

200

sin pi

0

200

Write in exponential form log (x)=2

102=x

300

A function with leading coefficient -4 and leading power 6 will have the following end behaviour

x goes to negative infinite y goes to negative infinite

x goes to positive infinite y goes to negative infinite

300
Use the remainder theorem to determine the remainder when P(x)=2x^3+x^2-3x-6 is divided by x+1.
-4
300

In which condition will a rational function have a hole?

when numerator and denominator are factors of each other

300

what is the reciprocal of sine?

cossecant

300

The graph of an exponential function and its corresponding logarithm is symmetric about this line

x=y

400

In the function (x-3)3(x-4)2 the root x=4 will ______ the x-axis

be tangent to

400

Determine one factor of x3+4x2−11x−30

(x−3) or (x+2) or (x+5)

400

Find both the horizontal and vertical asymptotes of f(x)=(3/(x+8))-3

HA: y=-3

VA: x=-8

400

calculate the value of x given cos x=sqrt2/2


pi/4

400

Simplify log(x2)−log(x)+log(y)

log(xy)

500
1) Determine an equation for the family of cubic functions with zeros -4,0, and 2. 2) Based on the equation above,the graph passes through the point (-2,4).Determine the new equation.
1) y=k x (x+4)(x-2) 2) y=1/4 x (x+4)(x-2)
500

Determine the quotient of x3+3x2-2x+5 divided by x+1.  

x2+2x-4

500

Solve the polynomial inequality polynomial function. x^2 - x - 12 < 0

-3 < x < 4

500

Use trig identities to simplify the trig function

(1−cos(2x))/(2 sinx cosx)

tan x

500

Guy invested is $200 000, with an annual interest of 10%. At this rate, in how many years will he reach 1 million?

in almost 17 years 

or 16.88 years