Initial Knowledge Check
1 answer:
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Answer:
Part a) see the explanation
Part b) The graph in the attached figure
Step-by-step explanation:
<u><em>The complete question is</em></u>
The length of a snake in a video game doubles every minute. the function f(x)=10*(2)^x represents the length of the snake in centimeters. the time x=0 represents when the game started.
a) label the correct axes with "length (cm)" and"time (minutes)"
b) graph f(x)=10*(2)^x
Part a) we know that
we have a exponential function of the form
where
f(x) -----> the length of a snake in a video game in centimeters
x ----> the time in minutes
a is the initial value or y-intercept of the linear equation
b is the base of the exponential equation
In this problem
so
---> initial value, value of y when the value of x is equal to zero
----> factor growth
----> percent rate of change
Is a exponential growth function
Part b) Graph the function
To graph the function we need different points
assume different values of x and find the values of f(x)
For x=0 ----> ----> point (0,10)
For x=1 ----> ----> point (1,20)
For x=2 ----> ----> point (2,40)
For x=3 ----> ----> point (3,80)
For x=4 ----> f(4)=10(2^4)=160 ----> point (4,160)
Plot the points, connect them and draw the graph
see the attached figure
