Pls help I need help
1 answer:
You might be interested in
Answer:
A)
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function is known as increasing in an interval
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function is known as decreasing in an interval
when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval:
and is increasing on the interval:
When we choose from the options,
The correct answer is option A)
I hope this helped:)
Answer:
See below
Step-by-step explanation:
then f(x)=0 if x<0 and f(x)=x if x≥0.
When x→-∞, f is the constant function zero, therefore . When x→∞, f(x)=x and x grows indefinitely. Thus
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x)=x) and if x<0, f'(0)=0 (the derivative of the constant zero). In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).