Answer:
- not a function
- an x-value is repeated
Step-by-step explanation:
A function maps each value of the independent variable to one value of the dependent variable. If an input maps to two or more different outputs, the relation is not a function.
On a graph, two or more different output values for the same input will show up as points vertically aligned with each other. That is, a vertical line will intersect the graph in more than one place. When that happens, we say the graph <em>does not pass the vertical line test, so is not a function.</em>
<em>___</em>
On the graph of these points, we show the vertical line that intersects two of the points of the given relation. The relation fails the vertical line test.
The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different,
for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
![\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28%5Csin%20x%2B%5Ccos%20x%29%3D%5Ccos%20x%20-%5Csin%20x)
Then compute critical points of a derivative
.
Then evaluate
at
.
You will obtain global maxima and global minima
respectively.
The answer is
.
Hope this helps.
2x-2(-2+1)=4
Distribute the -2 to the numbers in parantheses.
2x+4-2=4
Combine all numbers
2x+2=4
Subtract 2 from both sides
2x=2
Then divide by two
x=1