a step function h(x) is represented by y = –2⌊x⌋. which phrase best describes the range of the function h(x)?
a. all real numbers
b. all rational numbers
c. all negative integers
d. all even integers

Option D is correct.

Step-by-step explanation:

Given a step function h(x) is represented by y = -2⌊x⌋.

we have to find the range of the function h(x).

The value of ⌊x⌋ is the largest integer that is less than or equal to x.

Since given function is greatest integer function which gives the integer value.

Also -2 is multiplied by greatest integer function which results to all even integers.

The set of all output values of a function is called the range of function.

hence, the range of function h(x)

y = -2⌊x⌋

is all even integers.

Option D is correct.

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

look at photo