Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
a.
h(8) = 21
b.
h(13) = 18
c.
h(-3) = -1
d.
h(2) = 16

Option D. h(2) = 16

Step-by-step explanation:

Verify each statement

case A) h(8) = 21

The statement is false

Because

we know that

h(8)=19 > given value

and

If h(8) = 21  then f(x) is not a function

case B) h(13) = 18

The statement is false

Because x=13 not belong to the domain of the function

case C) h(-3) = -1

The statement is false

Because

x=-3 belong to the domain

but

h(-3)=-1   not belong to the range of the function

case D) h(2) = 16

The statement could be true

Because

x=2 > belong to the domain of the function

h(2)=16 > belong to the range of the function

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.