Algebra 3 review game

graphing quadratics/polynomials

100

determine is the function has a maximum or minimum value: 

f(x)= -2x²+8x+7

maximum, 15

200

solve the polynomial function for x: 

g(x)= 4(x²-49) (x+5)² (x-5)

x=7

x=-5

x=5

300

determine whether the function is a polynomial or not: 

g(x)= 4+7x²-3x-x⁵

yes, it's a polynomial

400

write the standard form with the given zeros and leading coefficient: 

zeros: -2,3,-1

LC: 2 

y=2x³-14x-12

500

find the vertex of: 

-2x²-8x+1

(-2,9)

rational functions

100

what is an equation of the vertical asymptote of the graph f(x)= x-1/x-2

x=2

200

what are the excluded value x-2/x-4

4

300

identify the asymptotes of y=3/x +2

x=0, y=2

400

where is the hole in the graph of: f(x)= 2x²-9x-5 / x²-25

5

500

find the domain, horizontal asymptote, and vertical asymptote of 

y=x²+3x+1 / 4x²-9

domain: x is NOT equal to + or - 3/2

VA: x= + or - 3/2

HA: y= 1/4

comp. & inverse functions

100

find the inverse of each relation: {(-7,1),(0,5),(5,-1)} 

{(1,-7),(5,0),(-1,5)}

200

Determine whether each pair functions are inverse functions. 

f(x)= x-1 

g(x)= 1-x

yes

300

g(f(5))

f(x)=x² 

g(x)= 3x-2

73

400

verify the functions: f(x)=4x-1 ; g(x)= 1/4x + 1/4

verified 

500

write the correct equation for: f(x)= 1/2x +4

y=2x-8

exponential functions

100

solve: 2^6x=32^x-2

x=-10

200

write an exponential function: (0,144) and (4,21609)

y=144(3.5)^x

300

write a function for the graph that passes through the given points: (0,3) & (3,375)

375=3 x b³

400

solve the equation: 9^-x+5=27^6x-10

x=2

500

solve: 4^x-1=2^x+5

x=7

logarithmic functions

100

solve: log₁₀u= 3/2log₁₀4

u=8

200

write an equivalent exponential or logarithmic equation. 

ln15=x

e^x=15

300

write as a single logarithm: 

3 ln4+ 3 ln3

3ln12

400

solve. give exact & approximate answer rounded to the nearest thousandth. 

2e^x-1=11

exact- ln6=x

approximate- x~1.791

500

solve: 

log₂ (5y+2)-1 = log₂ (1-2y)

y=0