Problem Set 1
The sinusoidal function h has a minimum at the point (2pi, -1). The first maximum after reaching this minimum value occurs at the point (5pi, 7). What are the values of the period and amplitude of h ?
The period is 6pi and the amplitude is 4
The function F is given by f (x)=6cos(x). What are all values of X for 0<x<2pi where f (x)=-3
x=2pi/3, x=4pi/3
Consider the graph of the polar function f(x) = 2 +3cos(x) in the polar coordinate system. Which of the following statements is true about the distance between the point with polar coordinates (f(x),x) and the origin.
The Distance is decreasing for 4pi/3<x<3pi/2, because f(x) is positive and increasing on the interval.
In the xy-plane, the graph of which of the following functions has a vertical asymptote at x = pi
y= csc(1/2x)
5+3sec(x)=11 where 0<x<2pi
pi/3,5pi/3
Let h be the function given by h(x)=sin(x). The period of the function k is twice the period of function h and the graph of k is a horizontal translation of h by -pi units. Which of the following defines k in terms of h
h(1/2
In the xy two different angles a and b are in standard position and share a terminal ray. Based on this information, which of the following gives possible values for a and b
Pi/4 and 9 pi/4
Which expression expanded is equivalent (x-4y)5
X5-20x4y+160x3y2-640x2y3+1280xy4-1024y5
The function g is constructed by applying 3 transformations in this order: a horizantel dilation by 3, a vertical dilation by 5, and a vertical translation by -7.
g(x)=5f(x/3)-7
6=sinx+5. Write a general rule
x= pi/2 +2piK
h(x) = acos(b(x+c))+d
max is (pi,6)
min is (2pi, 2)
what is b and d?
b= 1 and d=4
Let f(x)= x2-5x+10 and g(x)=2x2-3x-14. What are all the intervals for which f(x)>g(x)
(-6,4)
The rational function r is given by r(x)=(x3+2x2-6x)/(x2+3x). On the xy plane, what is the slope of the slant asymptote of r?
1
The polynomial function p is given by p(x)=(x2+4)(x-3)(x+3). Describe the zeroes of p.
It has 2 distinct real zeroes and 2 distinct non real zeroes.
What is the remainder when 3x2+9x+10 is divided by x+5
40
A scattered residual plot with no clear pattern is a ________ graph
Linear
solve= 2x-4=32x+2, Leave it in logs
Log2/9144
Graph y=2x-2. Show Mrs Koc
Mrs Koc checks
Graph the basic outline of y=-3(x+4)2(x-2). Show Mrs Koc
Check with mrs Koc
Graph cos(2x)+4. Mrs Koc Checks
Mrs Koc Checks
Write an exponential equation with the points (2,1) and (4,4)
Write a limit statment for y=x
Limx -> infinityf(x)= infinity and limx -> -infinityf(x)=-infinity
Write a Statement regarding the concavity of y=-4(3)x that is always true
f(x)= 2x-1 and g(x)= x2+3x. Write f(g(x)).
Write an equivalent function to log49 using change of base.
log(9)/log(4)