A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.
x -1 0 1 2 3 4
g(x) 24 6 0 -2
Based on the line, we can logically deduce the following points:
- y-intercept approaches -2.43 to 24.86.
- x-intercept approaches negative infinity (-∞) to infinity (∞).
This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
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<u>Answer:</u>
The range of the function y = 2cos x is -2 <y < 2 .
<u>Step-by-step explanation:</u>
We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,
since ,
cos (x + 2π) = cos x
So, the range of the function y = 2cos x is -2 <y < 2 .
Answer:
-2 < x < 35
Step-by-step explanation:
We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.
The opposite angle of the 14 unit side is 37 °.
The opposite angle of the 13-unit side is (x + 2) °.
Since 13 <14, it would be:
x + 2 <37
we subtract 2 on both sides
x <35
The value of x must be less than 35.
Now, to form a triangle, the angle must be greater than 0.
x + 2> 0
we subtract 2 on both sides
x> -2
The value of x must be greater than - 2.
Therefore the answer would be:
-2 <x <35