Which statements accurately describe the function f(x) = 3(StartRoot 18 EndRoot) Superscript x? Select three options. The domain
2 answers:
Answer:
The domain is all real numbers.
The initial value is 3
The simplified base is
Step-by-step explanation:
The given function is .
To find the initial value, we put x=0 into the function:
.
.
The initial value is actually 3.
The given function is an exponential function, therefore the domain is all real numbers.
The range of this function refers to all values of y for which the function is defined.
The line y=0, is the horizontal asymptote.
The range is
The simplified base is .
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The average rate of change of function from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.
The correct option is (A).
What is the average rate of change of a function?
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.
Using function notation, we can define the Average Rate of Change of a function f from a to b as:
The given function is ,
Now calculating the average rate of change of function from x = 1 to x = 2.
Now, calculate the average rate of change of function from x = 3 to x = 4.
The jump from m = 10 to m = 40 is "times 4".
So option (A) is correct.
Hence, The average rate of change of function from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.
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