See in the explanation
<h2>Explanation:</h2>
<h3>1. Are exponential function one to one. How can you tell?</h3>
- A function
is one-to-one if each value of 
corresponds to exactly one value of 
.
To demonstrate this, we take the Horizontal Line Test that states:
<em>A function has an inverse function if and only if there is no any horizontal line that intersects the graph of at more than one point.</em>
As you can see in the first figure, the horizontal line 
(the green one) intersects the graph of the exponential function 
(the red one) in just one point. If you take every horizontal line 
with 
any real number, you will find that every line intersects the exponential function in just one point. Therefore, this function is one-to-one
<h3>2. What does this tell you about their inverses?</h3>
Another important thing is that:
- A function has an inverse function if and only if is one-to-one.
As we have demonstrated that exponential functions are one-to-one by Horizontal Line Test, then we conclude exponential functions have inverse functions. The domain of the inverse function is the range of the original one and the range of the inverse function is the domain of the original one. The inverse of is 
whose graph is the second figure below.
<h2>Learn more:
</h2>
How to find the inverse of a function? brainly.com/question/9980183
#LearnWithBrainly
Answer:
Step-by-step explanation:
We are given that
Base area of sample box,a=
Height of the sample box,h=
We have to find the volume of the sample box.
We know that
Volume of rectangular prism,
Where a=Area of base
Using the formula
Volume of sample box=
Hence, the volume of the sample box=
Answer:
The ladder must be placed at a distance of 33.2 feet from the bottom of the building
Step-by-step explanation:
From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder
The height of the child is 50 feet from ground level
So we need to get the third side of the triangle
We can get this by considering the use of Pythagoras’ theorem
This will give us the length of the third side of the triangle
From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides
Let the unknown side be x
Thus;
60^2 = 50^2 + x^2
x^2 = 60^2 - 50^2
x^2 = (60-50)(60+50)
x^2 = (10)(110)
x^2 = 1100
x = square root of 1100
x = 33.166
To the nearest tenth, this is 33.2 feet
You can illustrate it by comparing two quantites in a correlational basis. Like the price times the time of how a courier delivers a package or a internet speed vs the data cap and land area and the investment.
Bar graph display directly the variables which are the rate and ratio of the numbers to visualize and display the results, these contrasting the different outcomes. On the contrary, histogram is used in grouped frequency parameters. Moreover, as little as the given five parameters or data set this will be ineffective and will result to a bar graph only and basically, the suited option is the aforementioned vertical graph to display the numbers. To expound on the definition of histogram it is used when the frequency is grouped. For example the data set of 1-5, 6-10, 11-15 and 16-20 this now can be used and applied to illustrate histogram because of the number and quantity of the given data.<span>
</span>
Answer:
$6326.6
Step-by-step explanation:
5000(1.04)
Multiply 5000 by 1.04 to the 6th exponent.
