Ashlynn & Rae-lynn's Jeopardy!

Definitions

100

what is a set of all y values?

Range

200

what is a line that a graph approaches but never touches? 

Asymptote

300

what type of function is defined as f(x) = f(-x)? 

Even function

400

What function has a non-negative integer power? 

Polynomial function 

500

what happens as the x value of a graph approaches +/- infinity? 

End behaviour 

transformations of trig functions

100

According to the equation Y=3cos(27x-20)+17 list all transformations that occur. 

vertical stretch by 3

vertical transition up 17 

horizontal shift right 20 

200

According to the equation Y= 3cos(27x -20)+17 list the amplitude, phase shift, and period. 

Amplitude = 3

Phase shift = 20

Period = 2 pi 

300

according to the equation y= 4sin[5(2x-3)]-7 give the transformations, amplitude, phase shift and period. 

vertical stretch by 4, vertical transition down 7, horizontal shift 3 right, horizontal compression by 1/5. 

amplitude = 4

phase shift = 3 right

period = 2 pi/ 5

400

with the given information, create an equation using sin. 

reflection in x-axis, amplitude of 1/2, phase shift 10 left, vertical shift down 4, period 2 pi. 

y= -1/2 (x+10)-4

500

given the equation y= 3cos[2(x-3pi/2)]

find the amplitude, period, phase shift and then graph 

amplitude = 3 

period = pi 

Phase shift = 3pi/2 right

exponent laws

100

solve 

1029⁰ =?

1

200

solve 

10³ x 10⁷ =?

10¹⁰

300

solve 

2^-5/2⁴ =?

2^-9

400

solve 

(a⁷)³ =? 

21

500

solve 

3^1/6 =?

6 root 3¹

solving linear trig equations

100

Cosx = 1/√2

B=pi/4 

Q1=pi/4 

 Q2= 7pi/4

200

Tanx= -⅙  

B= Tan^-1 (1/6) =0.165

Q2= 2.97

Q4= 6.17

300

3 = 5+4cosx

B= pi/3

Q2= 2pi/3

Q3=4pi/3

400

sinx  + √3 = -sinx

B= pi/3

Q3= 2pi/3

Q4=5pi/3

500

10sinx + 2 = 8sinx + 1  

B= pi/6

Q3= 7pi/6

Q4= 11pi/6

solving rational equations

100

Where do the x-int and restrictions come from when solving rational equations? 

x intercepts come from the top of the equation while restrictions come from the bottom of the equation. 

200

sove 

7/x +3x/x - (2-4x/x) = 0

answer: 5+7x/x = 0

X- intercepts: -5/7 = x

restrictions: x cannot = 0 

300

solve 

6/(2x+1) = 5 

Answer: 5(1-2x)/(2x+1) = 0 

x-intercept: 1/2 

restriction: x cannot equal -1/2 

400

solve 

2x/5 - 3/5x - x/5 = 0 

Answer: x²+3/5x

x-intercept: No solutions 

restrictions: x cannot equal 0, 5x cannot equal 0 

500

solve 

(x+5)/(x-1) = (x+1)/(x-3)

Answer: -4(x+5)/(x-1)(x-3) = 0 

X- intercepts: x = -5 

restrictions: x cannot = 1, x cannot = 3