Features of a Graph
Exponent Rules/Common Bases
Exponential Functions
Functions
Misc.
100
How can we tell if a function is a one-to-one function?
Passes HLT and VLT or x-values and y-values cannot repeat
100
Simplify the following:
(5x^8)^2
25x^16
100
Given the exponential function below, what does the 12 represent?
y=12(0.25)^x
The y-intercept or the initial value.
100
What formula do we use to the find the average rate of change of a linear function?
(y2-y1)/(x2-x1)
100
How many permanent teeth should you have as an adult?
32
200
What is the domain and range of f(x)?
Domain: [-3,8]
Range: [-2,7]
200
Write the following using a rational exponent (HINT: exponent should be a fraction)
sqrt(x^7)
x^(7/2)
200
Will the following exponential function increase or decrease? Explain how you know.
y=5(0.74)^x
Decreasing because the b value is between 0 and 1.
200
What steps do we follow to find the inverse of a function?
Swap x and y and solve for y
200
Who is this and what was he known for?
Alex Trebek- Former host of Jeopardy
300
How can we tell if a function is even by looking at the graph?
It is symmetrical over the y-axis.
300
Simplify the following using exponent rules:
(3x^4y^2)/(6xy^3
(x^3)/(2y)
300
Find the value of x for the following equation:
9^(2x+1)=27
x=0.25 or
x=1/2
300
Given the following, find f(g(3)).
f(x)=x^2-5
g(x)=2x+3
76
300
Which animal can hold its breath longer than a dolphin?
Sloth
400
What is the value of f(0)+f(8)?
7+6=13
400
Use the method of common bases to solve for x:
2x=64
x=6
400
A savings account has $250 initially deposited in it. The account earns an interest rate of 3.5% per year. Assuming no further money is deposited, create an exponential model for the amount of savings, S, as a function of the number of years, t, since the initial deposit
S(t)=250(1.035)^t
400
What value is not included in the domain of the function
f(x)=(x+7)/(x-5)
x=5
400
How many spikes are on the Statue of Liberty's crown?
7
500
Given the graph of f(x), state the interval where f(x)>0
-1<x<4
or
(-1,4)
500
Use the method of common bases to solve for x:
125=(1/5)^(x-12)
x=9
500
Given the function below, state the rate (PERCENT) at which the function is decreasing by.
A(t)=125(.965)^t
3.5%
500
If f(x) is an odd function and f(2)=8, what is the value of 3f(2)+f(-2)
3(8)+(-8)=16
500
What condiment was once used as medicine in the 1800s?
Ketchup