The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
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Answer: Its a trick question
Step-by-step explanation:
I did this yesterday
Using the y=mx+b format
M= slope
B= y-intercept
All you need to do, since both m and b are given us to plug them in! You should commit “y=mx+b” to memory, it’ll help you a ton!
y = -2x+5
A= 1.5 × 10^10
Hope that helps
