Let f be a function consisting of exactly 50 ordered pairs. how many elements belong to the range of f? a. exactly 50 b. less than 50 c. greater than 50 d. at least 50 at most 50

a) Exactly 50

Step-by-step explanation:

The range of a function consists in the resulting y-values that we get once we substitute all the possible x-values of a function.

The function of this problem consists of exactly 50 ordered pairs, this means the function has EXACTLY 50 pairs (x,y) where x is the x-value and y is the resulting y-value for that x.

Therefore, we have EXACTLY 50 y-values and therefore the range of f has exactly 50 elements.

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.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is