Question

Use the first derivative to determine where the function
g(x)= 6 x + 7
is increasing and decreasing.

Answer 1

Start by finding the first derivative. Would you like a hand with that or are you cool with it?

Answer 2

they need the answer in interval form

Answer 3

1st derivative is = 6

Answer 4

It is indeed.

For values of x where the first derivative is positive, the function is increasing. When it is negative, the function is decreasing. And when it equals zero, the function is neither increasing nor decreasing.


So this derivative is positive (6) for all values of x - so all you have to do is interpret that in terms of increasing and decreasing.

Answer 5

it is a line with a positive slope, no calculus need apply
it goes up

Answer 6

It said "find the derivative and interpret it." The question was essentially about interpreting a derivative. Though a positive line plainly is increasing throughout and that is a neat n tidy graphical way to look at it.

Answer 7

ok but how can i express this positive 6 for all values of x in interval form for increase and decreasing
?

Answer 8

Use the brackets {} that indicate an open set.

Answer 9

ok but it would be (6,? )

Answer 10

Being a biologist, I would just say that the function increases over (negative infinity, positive infinity). The math profs probably wouldn't like me for it.

Answer 11

ok but my homework is rejecting this ans

Answer 12

Your homework is your problem - I just help with the math part of it, I'm afraid.

Answer 13

ok