10. Is the relation a function? Why or why not?

{(–8, –4), (–2, 0), (1, 3), (–2, 6)}

A. No; two range values exist for domain value –2.

B. No; the relation passes the vertical-line test.

C. Yes; only one range value exists for each domain value.

D. Yes; two range values exist for domain value –2.

A. No; two range values exist for domain value –2.

Step-by-step explanation:

In a function each input has ONE output. -2 has two range values, so No; two range values exist for domain value -2.

The given relation is

We need to check whether the above relation is a function or not.

A relation is a function if there exist a unique value of y for each value of x.

From the given relation it is clear that

y = 0 at x = -2

y = 6 at x = -2

Two range values exist for domain value –2. So, the given relation is not a 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.