Answer:
A.
As x decreases in value, f(x) decreases in value.
As x increases in value, f(x) increases in value.
Step-by-step explanation:
As we move our eyes towards the right following the curve, we see that the y-values are larger and larger. As we move to the right following the curve, the values of the x-variable in the horizontal axis are increasing. Then as x increases, the values of f(x) also increase.
On the other hand, if we move our eyes to the left following the curve, this way looking into what values the function adopts for smaller and smaller values of x, we see that the f(x) values decrease (the curve goes down).
Then, to summarize:
a) As we move to the right, thus increasing the values of x, we see the values of f(x) increase
b) As we move to the left, thus decreasing the values of x, we see the values of f(x) decrease.
The correct option is A.
If look at the graph carefully the value of f(x) is increasing with an increase in the value of x and vice-versa.
Also, at every point, the value of y is different for different values of x. and is contantly increasing with an increase in the value of x and vice-versa.
Now, looking at the statements,
A. As x decreases in value, f(x) decreases in value.
As x increases in value, f(x) increases in value.
Both the statements are True.
B. As x decreases in value, f(x) increases in value.
As x increases in value, f(x) decreases in value.
Both the statements are false.
C. As x decreases in value, f(x) increases in value.
As x increases in value, f(x) increases in value.
The first statement is false, while the second one is true.
D. As x decreases in value, f(x) decreases in value.
As x increases in value, f(x) decreases in value.
The first statement is true, while the second one is false.
Hence, the correct option is A.
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