Which of these are a net of a square based pyramid??
2 answers:
Answer:
Option (1) and (3) represents a net of a square based pyramid.
Step-by-step explanation:
Given: Different diagrams.
We have to find which out of the given diagram represents a net of a square based pyramid.
Consider the general net that represents the square based pyramid (as shown in figure 1)
When we flip triangle 3 to left side, and triangle 2 to left side , we obtain diagram (3).
Also, when we flip triangle 1 on left side and triangle 3 on right side , we obtain diagram (1) .
Thus, Option (1) and (3) represents a net of a square based pyramid.
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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: