How do I solve this
1 answer:
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Answer:
Given the function: .....[1]
An exponential function is in the form of .
- If
and b <1, then the graph is increasing
- If a< 0 and b >1 , then the graph is decreasing.
- If a> 0 and b<1, the the graph is decreasing.
- if a< 0 and b > 1. then the graph is increasing.
From the given equation [1] we have;
Here, a = -2 < 0 and b = 3 > 1.
For this function, x-intercepts doesn't exist, as it does not crosses the x-axis graph.
y-intercept states that the graph crosses the y-axis.
Substitute value of x =0 in [1] to solve for y;
y = -2
y-intercept = (0, -2)
End Behavior of the given graph :
If , then
and
If , then
Also, You can see the graph as shown below in the attachment.
Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Put f(x)=y.
Interchange x and y.
Isolate the variable y.
Putting , we get
For ,
It means for function and for inverse function
because the range of the function is the domain of inverse function.
Therefore, for
.