Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many p
2 answers:
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Answer:
Option (2) is correct graph.
Step-by-step explanation:
Given:
The function to graph is given as:
Now, the above function is an exponential function of the form
Where, 'k' and 'a' are constants.
The range of an exponential function is always greater than 0.
The domain is all real numbers.
Now, for graphing it, we need to find some points on it and its end behaviour.
Now, for x = 0, the function value is given as:
So, (0, 4) is a point on the graph.
Now, for x = 1, the function value is given as:
So, (1, 2) is another point on the graph.
Now, for x = 2, the function value is given as:
So, (2, 1) is another point on the graph.
Now, as 'x' tends to ∞, the function value tends to:
So, as
Now, from among all the options, only option (2) fulfills all the conditions given above.
So, option (2) is correct graph.
Remember
note that if
is a perfect cube then 
is also a perfect cube when c is an integer
so if a number is a perfect cube then the power must be divisible by 3
8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3
the perfect cube is y^24
note that if
so if a number is a perfect cube then the power must be divisible by 3
8 is not divisible by 3
24 is divisible by 3
26 is not divisibley by 3
64 is not divisible by 3
the perfect cube is y^24