If RS=ST then point S is called the midpoint of RT. Always. Sometimes. Never.
2 answers:
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You can use the slope formula or just calculate
So for the first problem you run 3 units right and rise 5 units so
2. Notice the y axis goes by 2 units.
3.
4.
Please let me know if you have questions
So for the first problem you run 3 units right and rise 5 units so
2. Notice the y axis goes by 2 units.
3.
4.
Please let me know if you have questions
We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:
So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read: