True or False: Only one-to-one functions have inverses.
What is true?
100
If Gina invests $2500 at a rate of 4% compounded continuously, how much money will she have after 4 years?
What is $2933.78?
100
This is the restriction for domain of a logarithm.
What is input>0?
200
Find x. e^(x-2)=(e^(2(3x+5))
What is x= -12/5 ?
200
Functions and their inverses are symmetrical over this line.
What is y=x? What is the identity function?
200
This is the amount of money accumulated if $300 is invested at a rate of 4% compounded monthly for 2yrs.
What is $300.08?
200
This is the formula used to change base of a logarithm so we can find the log's approximate value on our calculator.
What is the Change of Base formula: loga(x)=log(x)/log(a) = ln(x)/ln(a)?
300
3^x=4^(x-4)
What is X = ln(1/16)/ln(3/4)?
300
Find the inverse function of f(x). f(x)=(4x-7)/(3x+1)
What is y=(7-x)/(3x-4) ?
300
If 150 grams of a radioactive substance is decaying at a rate of 0.3%, this is the amount of substance that will be left after 3 years. Round to the thousandths place.
What is 148.656 grams?
300
Rewrite as a single logarithm. Ln(5x)+ln(8)-5ln(100+16x)
What is ln[(40x)/ (100+16x)^5)?
400
Find x. ln(9x-7)-ln(4x+2)=0
What is x=9/5 ?
400
Determine whether this function is linear, exponential or neither. {(-1,32),(0,16),(1,8),(2,4),(3,2)}
What is exponential?
400
If 450 grams of bacteria is growing at a rate of 6%, how many days will it be until there are 500 grams of the bacteria?