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
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Scale factor is simply the ratio of sides of two corresponding figures
<em>The estimated scale factor is 1.5</em>
From the question, we have:
- The actual figure is AB
- The dilation is AC
- The center of dilation is A
So, the scale factor (S) would be:
The actual measurements are not given; so, we will make use of estimates
The estimates to use are:
So, the scale factor is:
Hence, the estimated scale factor is 1.5
Read more about scale factors at:
brainly.com/question/14793702
the answer for A. 1/4. 2/4=1/2 3/4
Assuming interest paid annually, $4,200 * 1.085 = $4557, therefore total interest paid equals $357
Answer:
Starting is 10 going up by 5x
Step-by-step explanation:
When you look at a graph there is a y and x axis's. 10 is on the y axis and its going up by 5x.