Graphing Exponential Functions
The name of the line that a graph approaches but never touches
What is an asymptote?
Exponential and Logarithmic Functions are these types of functions
What is an inverse (opposite)?
True or False: The a value in exponential growth is always greater than 1
What is true
A positive h value results in this transformation
What is a horizontal shift right?
The subject of the EOC that a lot of y'all took last Wednesday
What is U.S. History?
The equation for any horizontal asymptote (the asymptote will ALWAYS equal this value from the transformations form)
What is the k value? (y = k)
The equation for any vertical asymptote (the asymptote will ALWAYS equal this value from the transformations form)
What is h? (x = h)
Is the following function an example of growth or decay?
g(x)=3/4(2)^(x-3)+4
What is decay?
A negative k value results in this transformation
What is a vertical shift down?
The name of the university that won the NCAA Men's Division I basketball championship this month (AKA the Final Four)
What is the University of Connecticut?
The horizontal asymptote in the function
f(x)=3(4)^(x+6)+2
What is -6?
The vertical asymptote in the function
3log_2(x-4)+5
What is 5?
The range of the function
ln(x-6)+3
What is all real numbers?
What is a reflection across the x-axis?
Who wrote Tom Sawyer?
Mark Twain
The x-intercept in the function
g(x)=2^(x-3)+1
What is none?
The x-intercept in the function (round to the nearest thousandth)
g(x)=3log(x+1)-2
What is 3.642
The domain of the function
log_3(x-4)+5
What is
(4,∞)
The transformations in the function
2^(x-1)+4
What is a horizontal shift right 1 unit and a vertical shift up four units?
This prestigious 26.2 mile road race, the oldest of its kind in modern history, is held annually on the third Monday of April.
What is the Boston Marathon?
The y-intercept in the function
h(x)=2.5^(x+4)-2
What is 37.063?
The y-intercept in the function
log_9(x+4)-1
What is -.369?
The range of the function
6(2.5)^(x-3)+2
What is
(2,∞)
The transformations in the function
-3log(x+4)-1
What are a reflection across the x-axis, a vertical stretch of 3, a horizontal shift left 4 units, and a vertical shift down 1 unit?
Ludwig van Beethoven's 3rd Symphony, "Eroica", was originally dedicated to this diminuitive 19th century French ruler.
Who is Napoleon Bonaparte?