Astudent made in finding the interval(s)
over which the function is positive and
negative.
positive: (-1,31
negative: (- 0,-1) and (3, 0)

Positive:  

Negative:

Step-by-step explanation:

The graph represents a parabola that has a maximum vertex at (1,4).

The portion of the graph above the x-axis is considered positive

For , the function is positive.

We can write this in interval notation as:

For or , the function is negative.

We can write this in interval notation as:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.