Alg 2 Final Exam Jeopardy

Algebra

300

f(x) = x²-3x

g(x) = -4x-2

Find (fg)(-1)

8

350

f(x) = x²-10x+25

g(x) = x+5

Simplify (f o g)(x)

x²

400

f(x) = (x²-9)/(x²-x-6)

g(x) =(x+3)/(2x+4)

Simplify (f/g)(x)

2

450

Find the inverse of

f(x) = x³ - 6

f^-1(x)=cbrt(x+6)

Distance

300

Find the distance between

(-3,3) and (2,15)

13

350

Find the equation of the circle with center (1,-4) and radius 7

(x-1)²+(y+4)²=49

450

Find the solution to

|x-6| = |x+10|

x=-2

500

DAILY DOUBLE

Find a point (x,y) which is distance 5 away from (3,3) which has a different x and y coordinate than 3.

Transformations

300

Describe the parent and transformations:

g(x) = 3x² - 6

V Stretch by x3

V Shift down 6

350

Name the parent and transformation:

g(x) = (0.5)sqrt(-x)

vertical compress by 1/2

h-reflection

f(x) = sqrt(x)

400

Sketch

f(x) = -|x-4| - 2

y=|x|

V reflect, Shift R4 D2

450

Write down the equation of the provided graph

:)

Sets

300

Intersection of

(-infinity, 6] and (3, infinity)

(3,6]

350

Find the solution set:

|-2x-4| <10

(-infty, -7) U (3, infty)

400

Find the solution set

|-5x-25| > -2

All real numbers

450

Find the domain of 

f(x) = 3 / (x²-100)

R \ {-10,10}

In Theory

300

Eliminate one point so that f is an invertible function:

{(1,7), (0,3), (4,6), (6,7), (6,0)}

(6,7) (six seven)

350

Suppose (-3,4) is on the graph of an even function. Name another point which must be on the graph.

(3,4)

400

Which of the following functions is neither even nor odd:

f(x) = x³-x

g(x) = 5x²

h(x) = 1/x

k(x) = 3x-4

j(x) = 2x²+1

k(x)

500

DAILY DOUBLE

Let f(x) = 2^x

Find f^-1(32), which is also known as log₂(32)