Graphing Exponential Functions
Give an example of something in real life that grows exponentially.
Mrs. Myers is the judge!
What is the name of the formula that changes f(x) = log4x into f(x) = (log x) / (log 4)
What is the Change of Base formula
Turns the base into its reciprocal.
What is a negative exponent
states that given an equation where two logarithmic expressions, with identical bases, are equal to each other, the arguments of those expressions are also equal.
What is the equality property or one to one property
The property that allows you to take two added logs and multiply their arguments
What is product property
How to eliminate e in an exponential equation
What is use ln on both sides?
The property used to change the exponent of an argument to a coefficient
What is the power property
How to eliminate ln from an equation when solving.
What is use e on both sides?
The rule used to get an exponential function into a log
The base stays the base and the other two switch
The property used to change two subtracted logs into one log with a fraction argument
What is quotient property
f(x) = (a)x where a > 1 or a < -1 represents what type of exponential graph?
What is exponential growth>\?
they have a domain of x > 0, a range of all real numbers and a vertical asymptote at x = 0.
What is the parent logarithmic function?
solve 4x+1 = 49
What is x=8
Solve log2(x) = 4.
What is x = 16
any number that can be written as a fraction, so long as the denominator does not equal 0.
What is a rational number
The easiest way to find the vertical asymptote for a logarithmic function
What is the number that makes the argument equal 0?
Solve 4x = 7x+1 (you'll need a calculator!)
What is x= -3.48
Solve log2(x) + log2(x – 2) = 3
What is x = 4
The name of a solution to a logarithmic equation that makes at least one original argument negative
What is an extraneous solution