Answer:
a)
, b)
,
, c)
, d) 
Step-by-step explanation:
a) Let derive the function:

is undefined when denominator equates to zero. The critical point is:

b)
when numerator equates to zero. That is:




This equation shows two critical points:
, 
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that
corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that
corresponds to a local minimum. (See Attachment)
1. False They have them backwards
2. false it is an x intercept
3. verticle
Answer:
y = 3/4 x -1
Step-by-step explanation:
The equation for a line with the slope and the intercept is y = mx+b where m is the slope and b is the y intercept
y = 3/4 x -1
Answer:
15x
Step-by-step explanation:
i just know (100% positive)
Answer:
"
is irrational for every nonzero integer x"
Step-by-step explanation:
The original statement is
"
is rational for some nonzero integer x."
The negation is technically:
"It is NOT true that
is rational for some nonzero integer x."
So it's expressing that it's false that
can be rational for some nonzero integer x.
This just means that
is always irrational when x is a nonzero integer.
Which can be worded as
"
is irrational for every nonzero integer x"