we know that
any function is increasing when for increase in x-values , y-value should also increase
we will verify each table
table-1:
we can see that
x increase as -3, -2, -1 , 0, 1,2
y is also increasing -6,-3,-1,1,3,6
so, this is increasing
table-2:
we can see that
x increase as -3, -2, -1 , 0, 1,2
but it is asking between -2 to 1
y-values are -4,-1,1,4.....which is increasing
so, this is increasing
table-3:
we can see that
x increase as -3, -2, -1 , 0, 1,2
but y changes from -3 to -5 .....which is decreasing
so, this is not increasing
table-4:
we can see that
x increase as -3, -2, -1 , 0, 1,2
but y changes from 7 to 1 .....which is decreasing
so, this is not increasing
The increasing function increases as the value of x increases. Then the correct option is A and B.
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
We know that the function is said to be increasing if the function increases with the value of x increases.
A function that is increasing only over the interval (-2, 1), and nowhere else.
A. The f(x) increases with an increase of x. The function is an increasing function.
B. The f(x) increases with an increase of x. The function is an increasing function.
C. The f(x) is first decreases and then increases with an increase of x. The function is not an increasing function.
D. The f(x) decreases with an increase of x. The function is a decreasing function.
More about the function link is given below.
https://brainly.com/question/5245372
