Answer:
A
Step-by-step explanation:
The line on the right has equation y = x + 1
The absolute value function always gives a positive value
Thus the equation is y = | x + 1 | → A
 
        
             
        
        
        
Answer:
a₁ = 1; r = 3
Step-by-step explanation:
a₁ represents the first term. It is 1 in this case.
r represents the common ratio between terms. In this case it's 3 / 1 = 3.
 
        
                    
             
        
        
        
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 is one-to-one if each value of corresponds to exactly one 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
 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>
 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 green one) intersects the graph of the exponential function  (the red one) in just one point. If you take every horizontal line
 (the red one) in just one point. If you take every horizontal line  with
 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
 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
 is  whose graph is the second figure below.
 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:
-2
Step-by-step explanation:
 
        
             
        
        
        
The absolute value of a number is its distance from 0.