Question

Use the table to answer the question.

This table compares two options based on whether they pass through the point (-1, -2) and their respective domain and range.
Option #1 Option #2
goes through the point (−1,−2)
does not go through the point (−1,−2)

domain is (−∞,∞)
domain is (0,∞)

range is (−∞,∞)
range is (0,∞)

Which option contains true statements about the graph of f(x)=8x−−√3
?

(1 point)
Option #

Answer 1

I can’t be sure what f(x)=8x−−√3 means as written. Could you confirm which of these you mean?

- f(x) = √(8x − 3)
- f(x) = √(8x) − 3
- f(x) = 8√x − 3
- f(x) = 8x − √3
- f(x) = 8^(x − √3)
- something else

If you meant √(8x − 3): domain [3/8, ∞), range [0, ∞) — neither Option #1 nor #2 is correct.

If you meant √(8x) − 3: domain [0, ∞), range [−3, ∞) — neither option is correct.

If you meant 8x − √3 (a linear function): domain and range are (−∞, ∞) so the domain/range statements in Option #1 are correct, but it does NOT pass through (−1, −2), so Option #1 as a whole would be false.

Tell me which function you intended and I’ll pick the correct option.