How do i demonstrate using the derivative at c) i am waiting for any suggestions i have been trying to solve this type of exercices for a long time. you

a) The function will be monotonic in any interval in which the derivative does not change sign. Find the derivative, see where it is zero, and use the location of the zero(s) to identify the desired intervals.

f'(x) = e^x -1

f'(0) = 0

The function is monotonically decreasing for x < 0 and monotonically increasing for x > 0.

_____

b) true.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3