In Exercises 1-4, the graph of an exponential function is given. Select the function for each graph from the following options: f ( x ) = 4 x , g ( x ) = 4 − x , h ( x ) = − 4 − x , r ( x ) = − 4 − x + 3 ⋅
In Exercises 1-4, the graph of an exponential function is given. Select the function for each graph from the following options: f ( x ) = 4 x , g ( x ) = 4 − x , h ( x ) = − 4 − x , r ( x ) = − 4 − x + 3 ⋅
Solution Summary: The author explains the function h(x)=-4-x using the graph.
1. Plot the graph of the exponential function f(x) = -3x² + 12x + 5. Also write its vertex, axis of
symmetry, maximum or minimum, range, interval of increase, interval of decrease, x-intercept, and y-
intercept.
Many times a tweet will be tweeted and then retweeted with the possible number of retweets growing exponentially. Manuel modeled this phenomenon with the function f(x) = 3(2x), using x to represent the number of intervals in which the tweet was retweeted. Which statement about Manuel’s function is true?
a. There were 2 original tweets.
b. There are 3 times 2 or 6 retweets at each level.
c. A tweet can be retweeted a maximum of 3 times.
d. At each interval, the number of retweets doubles.
The number of stores opened by a fast food restaurant chain can be modeled by the exponential function graphed on the grid, where x is
the number of years since 2010.
Fast Food Restaurants
2400
2000
1600
1200
800
400
Number of Years Since 2010
Based on the graph, which statement appears to be true?
A. The restaurant company opened 100 stores at the end of 2010.
B. The restaurant company opened 1400 new stores in 10 years.
C. The restaurant company opened 200 stores every year.
O D. The restaurant company will have 2000 stores in 2022.
Number of Stores
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