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kaitlyn114433
25.09.2019 •
Mathematics
Graph the exponential function.
y=5(2)^x
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Ответ:
Option A is correct.
Explanation:
Exponential function: The function is given by :
.....[1];
where a≠0 is the initial value and base b>0 , b≠1 and x is any real number.
Given: The exponential function:
......[2]
On comparing above with equation [1] we have,
a =5 and b = 2>1
Since, the domain is all Real numbers and the range is all positive real numbers except 0.
To find y-intercept;
Substitute x = 0 to solve for y;
Substitute in [2] we get;
Therefore, the graph has a y-intercept at (0,5).
*If b > 1, then, the graph increases.
or
we can say that the greater the base, b the faster the graph rises from left to right
and
If 0<b<1 , then the graph decreases.
Therefore, the given exponential function graph increases because b = 2>1 .
End behavior of the given function
;
As
then, ![y \rightarrow +\infty](/tpl/images/0262/1004/ce009.png)
And for
then, ![y \rightarrow 0](/tpl/images/0262/1004/c5d7c.png)
Ответ:
Step-by-step explanation:
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