Exponential Functions
What is the formula for Exponential Functions? How do you know if the function is growing or decaying?
f(x) = Cax
If "a" is greater than 1, the function is growing
If "a" is less than 1, the function is decaying
A logarithmic operation is the inverse of this operation.
exponential
Expand this Log:
log(3x4y-7)
log(3) + 4log(x) -7log(y)
Solve:
2x=128
x=7
Which famous basketball player has a shoe brand named after him?
Michael Jordan
The natural number e is equivalent to what number to 3 decimal places?
2.718
The power rule of logarithms allows us to do this with exponential expressions inside the logarithm.
move them out in front of the logarithm
Simplify this Log:
2log4(x) + 5log4(y) - 1/2log4(z)
log4(x2y5 / z1/2)
Write the exponential equation (1/2)-3=8 in logarithmic form.
log1/28 = -3
What is the three-digit value that represents pi in math?
3.14
The domain of an exponential function is this.
all real numbers
The log of 1, regardless of the base, is this.
0 (zero)
Expand this Log:
ln(4x3/2y)
ln 4 + 3 ln x - ln 2 - ln y
Simplify lne3x
How many bones are in the human body?
206
Write the function ex if it is shifted two units to the right, 3 units down, and stretched vertically by a factor of 4.
4e(x-2)-3
Write the product rule for logarithms.
log m + log n = log mn
Simplify this Log:
ln 5 - 7 ln x4 + 2 ln y
ln (5y2 / x28)
Solve:
logx=3
1000
What is the name of the trophy awarded to the winner of the NFL Superbowl?
Vince Lombardi Trophy
The graphical feature that an exponential function cannot cross is called this
horizontal asymptote
What is the output of a logarithm?
an exponent
Expand ln(3x2z3/5x).
ln 3 + 2lnx + 3lnz - (ln 5 + ln x)
Write the logarithm in exponential form log7(1/49)=-2
7-2=1/49
The color of polar bear's skin.
Black