Which statement is correct?
1 answer:
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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:
The equation of the line is y = x + 9
Step-by-step explanation:
The equation of a line in slope-intercept form is y = m x + b, where
- m is the slope of the line
- b is the y-intercept ⇒ the value of y when x = 0
∵ The line has a slope
∴ m =
∵ The y-intercept is 9
∴ b = 9
- Substitute the values of m and b in the form of the equation below
∵ y = m x + b
∴ y = x + 9
The equation of the line is y = x + 9
Learn more:
You can learn more about the linear equations in brainly.com/question/12941985
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