Spiral Test Review: PreCalc

Problem Set 1

100

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

200

                                               

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

300

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

400

A scattered residual plot with no clear pattern is a ________ graph

Linear

500

Write an exponential equation with the points (2,1) and (4,4)

y=1/4(2)^x

Problem Set 2

100

                                               

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

200

                                               

 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

300

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)

400

solve= 2^x-4=3^2x+2, Leave it in logs

Log_2/9144

500

Write a limit statment for y=x

Lim_{x -> infinity}f(x)= infinity and lim_{x -> -infinity}f(x)=-infinity

Problem Set 3

100

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.

200

Which expression expanded is equivalent (x-4y)⁵

X⁵-20x⁴y+160x³y²-640x²y³+1280xy⁴-1024y⁵

300

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

400

Graph y=2^x-2. Show Mrs Koc

Mrs Koc checks

500

Write a Statement regarding the concavity of y=-4(3)^x that is always true

Its concave down

Problem 4

100

                                               

In the xy-plane, the graph of which of the following functions has a vertical asymptote at x = pi

                                   

    

y= csc(1/2x)

200

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

300

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.

400

Graph the basic outline of y=-3(x+4)²(x-2). Show Mrs Koc

Check with mrs Koc

500

f(x)= 2x-1 and g(x)= x²+3x. Write f(g(x)).

2x²+6x-1

Problem Set 5

100

5+3sec(x)=11 where 0<x<2pi

pi/3,5pi/3

200

6=sinx+5. Write a general rule

x= pi/2 +2piK

300

What is the remainder when 3x²+9x+10 is divided by x+5

40

400

Graph cos(2x)+4. Mrs Koc Checks

Mrs Koc Checks

500

Write an equivalent function to log₄9 using change of base. 

log(9)/log(4)