URGENT!!! If correct will mark BRANILIST Question 1 of 10
What is happening to this graph

when the x-values are between -1 and 1?
10+
5
-10
5
10
-5
-10 +
A. It is constant.
e
B. It is decreasing.
C. It is increasing.

B

it is decreasing ✔️✔️ I think so

Step-by-step explanation:

so, please look at the graph !

it shows you the answer very clearly.

your do know what it means when it is said x = -1 or x = 1 ?

if not, please know that every function with only one input variable (argument) is usually defined as

y = g(x)

and g(x) is then an expression or a group of expressions defining the calculation of the result value (y) for a given input value (x).

and this function can then be represented by a 2- dimensional graph like this showing all valid pairs of x and y.

to represent the values of x there is a horizontal x-axis (going from left to right potentially from -infinity to +infinity).

and to represent the result values of y there is a vertical y-axis (going from down to up potentially from -infinity to +infinity).

and we are looking at the area of the crossing point of both lines, the origin with the x, y coordinates (0, 0), as this is the area of the usually most interesting behavior of the function, and where it often shows us its behavior it will have for large x far out on the chart.

so, when we say x = -1, look at this horizontal x-axis one unit to the left of the crossing with the y-axis. and now at that point look up or down on the chart where a vertical line would cross the function.

in our case (at least based on the fuzzy image) it seems that crossing will be at y = a little big bigger than 2 (above the x-axus are the positive y values, below the negative y values).

and now for x = 1.

look at the horizontal x-axis one unit to the right of the crossing with the y-axis. and now at that point look up or down on the chart where a vertical line would cross the function.

in our case it seems that crossing will be at y = between 0 and -1.

so, when we go from left to right (x=-1 to x=1), are the functional results increasing, decreasing or constant ?

what does the line do in this segment ?

it goes from upper left to lower right. also indicated by the 2 functional values we have seen : for x=-1 we got a result for y of about +2, and for x=1 we got even a negative result (a little bit below 0).

so, the right answer is, it is decreasing in that interval.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

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