Unit 1
Unit 1
Unit 2
Unit 2
Unit 3
Unit 3
100
What is the parent function of this polynomial graph?
y=x^3
100
2x+3=5x+6
x=3, 0.5
100
What are the 3 Properties of Logarithms?
1. Product Property
2. Quotient Property
3. Power Property
100
Is this equation showing growth or decay?
f(x)=(1/2)^x
Decay!
100
1/6 of the unit circle in the counterclockwise direction in radians.
pi/3
100
The amplitude of a sinusoidal function is the ______________.
Vertical Stretch (Dilation)
200
What are the transformations on this equation- y=-3(x-2)+7
Reflection over x-axis, right 2, up 7
200
Convert from standard to graphing form - y=-3x2+-3
=-3(x-2)2-1
200
Does this graph represent a polynomial function? 
No. Ther is a cusp, meaning this is not a polynomial function.
200
log6(1/36) = ?
Evaluate WITHOUT a calculator.
log6(1/36) = -2
200
tan^-1(sqrt 3)
Evaluate this expression.
pi/3
200
tan(7pi/4)
Evaluate this expression.
-1
300
Is f(x)=4x+7 One to One?
Yes, it is One to One.
300
f(x)=x^2 + 4x
g(x)=5x^2 + 9
What is g(f(x))?
g(f(x))=5(x^2 + 4x)^2 +9
300
Transform this exponential equation into a log equation:
log7(5) = x
7x+4=9
300
f(x) = 3x-5
g(x) = 2x+1
Solve for g(f(9))
g(f(9))=45
300
3/8 of the unit circle in the counterclockwise direction in radians
(3pi)/4
300
Find the midline, period, and amplitude of this graph.
Midline: 3
Amp: 6
Period: 3
400
Determine if f(x)=8-x5 is an even or odd function
odd
400
(5x^3+3x^2+4x+9)/(10x^2 +3x+7
Is this a Polynomial? Yes or No?
No, this is not a polynomial!
BOOOOOOOO!
400
What situation for a horizontal asymptote or a rational function does this represent?
(x^3-4x^2+16x-5)/(9x^2+3x+10)
NO horizontal asymptote.
degree TOP > degree BOTTOM
400
Find the 27th term of the sequence 22,19,16,.....
27th Term: -56
400
(csctheta/sintheta) - (cottheta/ tan theta)
(csctheta/sintheta) - (cottheta/ tan theta)= 1
400
The trigonometric function k has a maximum at the point (0,6). After this maximum, the next minimum occurs at the point
(pi/4, -4)
What is the expression for k(x)?
5cos(2x)+1
500
What is the Fundamental Theorem of Algebra?
The Fundamental Theorem of Algebra states that every polynomial function of a positive degree with complex coefficients has at least one complex zero.
500
Find the equation for this polynomial with the zeros. Zeros: 3i, -3i, and 4.
p(x)=x^4-8x^3+25x^2-72x+144
500
Synthetically divide for this polynomial :
-5x^3-2x^2+x-10divide x-3
5x^2+13+40+(110/(x-3))
3 ) 5 -2 1 -10
+ 15 39 120
__________________
5 13 40 (110
500
Find the inverse equation of
f(x)=3(2^(x+4))-15
y=log2(x/3 + 5)
500
What does the parent function for an Inner Loop Limacon look like?
r=a+-bsin theta
When a > b
500
Label the whole unit circle.
Answer on separate paper.