Which statements are true of functions? check all that apply.
a. all functions have a dependent variable.
b. all functions have an independent variable.
c. the range of a function includes its domain.
d. a vertical line is an example of a functional relationship.
e. a horizontal line is an example of a functional relationship.
f. each output value of a function can correspond to only one input value.

The correct options are:

A. All functions have a dependent variable.

B. All functions have an independent variable.

E. A horizontal line is an example of a functional relationship.

Step-by-step explanation:

All functions have atleast a dependent variable.

If we write a function y=f(x) then it means that y depends on the value of x. This shows that y is dependent variable and x is independent variable.

A horizontal line is an example of a functional relationship because given a value of x, you can always tell the value of y.

The correct options are A,B and E

answer: a clock

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet