Transformations
Exponential Functions
Logarithmic Functions
Graph Basics
Grab Bag
100
Log function with base 6.
What is y=log x base 6
100
The formula used to calculate an acct. balance for an account that has continuous compounded interest.
What is the Pert Formula. A=Pe^(rt)
100
log 20 has a base of......
What is 10
100
A function represents Exponential Decay
What is when b is between 0 and 1
100
The base of a Natural log
What is e
200
f(x)= 2^x is transformed right 5 and up 8 to form g(x).
What is g(x)=2^(x-5)+8
200
Growth or Decay y=(4/3)^x
What is Exponential Growth b/c 4/3 is greater than 1
200
The domain of y=4log(x-5)-6
What is x>5
200
Exponential function reflected over the x - axis
What is when a is less than 0 or negative
200
Convert y=5^x to log form
What is y=logx with base 5
300
f(x)=1/2*3^(x+1)+7
What is exponential function compressed by 1/2, base 3, left 1 and up 7
300
x y 0 2 1 6 2 18 3 54
What is y= 2*3^x
300
The asymptote of y=log(x+10)-2
What is x=-10
300
Range of all logarithmic functions
What is all real numbers
300
Solve for x: 4*3^x=16
What is x=log4 base 3
400
Exponential function with base of 4, shift left 5, down 2 and stretched by a factor of -3.
What is y=-3*4^(x+5)-2.
400
Write the function that is a reflection about the y-axis: y=6^x
What is y=(1/6)^x
400
Expand log(x^5y^8)
What is 5logx+8logy
400
Line that the function never intersects
What is an asymptote
400
Evaluate log 7 base2
What is log7/log2=2.8074
500
Write the function rule for the function that is reflected over the y-axis and the x-axis. y=2*0.5^(x)
What is y=-2*2^x
500
x y 1 6 2 3 3 1.5 4 0.75
What is y=12*0.5^x
500
Condense 3logx+5logy-2logz
What is log(x^3y^5)/z^2
500
The a and the b in the y=a*b^x.
What is the y-intercept and constant multiplier
500
Write in exponential form and evaluate. logx base 5=2
What is x=25
M
e
n
u