Good evening ,
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To graph such function we need only 2 points that their coordinates verify the equation y=1+0.5x then we link them with a line.
Look at the photo below for the graph.
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The true statement for f(x)=b^x is the function is always decreasing function.
We have given,
f(x)=b^x where 0<b<1
<h3>What is the domain?</h3>Domain is all possible values of x for which any function is defined
We can select any values of x for which function
It will be defined for all real x
So, the domain is
The range is all possible values of y for which x is defined
we are given that b is positive
The value of the function will always be positive
So, the range is
y>0
The x-intercept:
Set f(x)=0 and then we can solve for x
f(x)=b^x=0
x is undefined
The x-intercept does not exist
Increasing or decreasing:
Since, 0<b<1
The b is a positive value less than 1
As we increase the value of, will keep decreasing
This is decreasing function
To learn more about the function visit: