Parts of a Functions
Find the Asymptote
Write/Solve an Equation
Solve for x
Solve Using Inverse
50
find the range:
y=(1.9)log6(x-4) -2
(-∞,∞)
50
y=(2)4-(x+6)+2
y=2
50
Write the equation that represents:
log function, base 5, shift left 4, shift down 7
the graph has points (1,-5) and (-3,-7)
y=2log5(x + 4) -7
50
log3(x)=2
x=9
50
Solve for x:
0=log8(2/3x)
x=3/2
100
find the domain:
y=log(x-17) -6
(17,∞)
100
find the horizontal asymptote:
y=0
100
Write an equation to express:
Sarah invested $600 into her friend's lemonade stand, with an interest rate of 2.7% compounded weekly. In 3 years, how much money will Sarah have made?
A = 600(1+(0.027/52)156
100
(1/2)x3-4=9.5
x=3
100
Simplify:
350
find the holes:
x2+6x-16/2x2-4x-12
none
350
Find the nonvertical asymptote:
y=2/5
350
Given the point: (-1,2) and the parent function: y=0.5x, what is the new location of the point following the transformations of the equation: y=-3(0.5)x-1+7
(0,1)
350
x=3
350
Solve for x:
17ln(x+2)-8=26
(round to the nearest hundredth)
x=5.39
500
What is the rate of decay of this function?
y=0.6x-3
0.6
500
y=x+7
500
In 2015 Matt measured an icicle. He measured it again every month after that and found it melted at a rate of 18% compounded monthly. If the icicle is currently 416 cm long, how long was the icicle when Matt first observed it to the nearest cm?
558 cm
500
x=-3
500
find the equation if the graph was reflected across the line y=x
y=ax-b+c
y=loga(x-c)+b