Level 3A
Given the equation
y=-4cos(2x)
What is the Amplitude and the Period?
Amplitude = 4
Period = pi
Determine the amplitude and period for the function
f(x)=4cos(2x)
Amplitude =
Period =
Amplitude = 4
Period = pi
The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a
A. Circle B. Square C. Triangle D. Rectangle
Answer Choice : C
T or F: Imaginary Roots always travel in pairs
True
What is the value of the extraneous root
(x^2+x-2)/(x+2)=-2
X=-2
The population of a city increases by 2% every 12 years.
Which function P(t) best models the population of this city after t years of growth?
A. P(t)=P_0(1+0.02)^(t/12)
B. P(t)=P_0(1+0.02/12)^(12t)
Answer: A
Evaluate:
1/2log_3(81)=
2e^ln(6)=
2
12
Consider the equation:
f(x) = 2*(1/3)^x
A. T or F : The domain of the function is all real numbers
B. T or F : The range of the function is all real numbers greater than 0.
A. True
B. True
Solve
Round to nearest thousandth
12*10^(3x)=14
x = .022
What is the solution to
2/x-(3x)/(x+3)=x/(x+3
x=-1,3/2
Solve for x
log_3(8x+9)=9
x=9
Estimate the solutions to the equation
3x-4=7/x
by using a graph.
Round your solutions to the nearest integer.
x=-1 and x=2
Find the sum of the zeros of
f(x) = -(x+7)^2(x-2)
-12.
What is the sum of the remainders when
g(x)=x^4 +2x^3-5x^2-7
is divided by (x+1) and (x-2)
g(-1) = -13
g(2) = 5
Answer: -13+5 = -8
Given
f(x)=3sin(x)-5
Amplitude =
y-Intercept =
Period =
Amplitude = 3
y-intercept = -5
Period = 2pi
The graph of y=x^3 is translated to create a cubic function f(x) with x-intercepts at (-3,0), (-1,0), and (3,0). What is the factored form?
Factored Form
f(x)=(x-3)(x+1)(x+3)
Given an average rate of inflation of 4% which functions, V(t), could be used to model the value of a home worth $150,000 today over a time, t, in years? Select all that apply.
A.V(t)=150,000(1.04)^t
B.V(t)=150,000(1.4)^t
C.V(t)=150,000(1+0.04)^t
Answer(s): A and C
Marsha graphed the function on a coordinate plane.
f(x) = 2/x+1
She then graphed on the same coordinate plane.
f^-1(x)
What two points do these two graphs have in common?
Points in Common
(-1, -1) and (2, 2)
A polynomial equation with real coefficients has roots at x = 1, 2, 3 and
What is the minimum degree of the polynomial equation?
5
Consider the function
f(x)=(1/3)^x
Determine the x-intercept of the inverse of the function.
x-intercept (1,0)
The remainder when the polynomial
R(x)=5x^4+18x^3+kx+15
is divided by (x+3) is -21. Use this information to determine the value of the coefficient k.
What will be the value of the inverse function of
f(x)=2/3x+1
at x=2?
3/2 or 1.5
The graph of y=x^3 is translated to create a cubic function f(x) with x-intercepts at (-3,0), (-1,0), and (3,0). What is the standard form of f(x)
Standard Form
f(x)=x^3+x^2-9x-9
Find the center and radius of the circle.
x^2+6x+y2^2-10y-15=0
Center:(-3,5)
Radius: 7
Given the circle below with a radius of one unit and the angle theta, in radians, is 5pi/3. What are the values for x and y?
(1/2,-sqrt3/2)