Question

Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x

A.It is increasing. B.The range is y > 0. C.The x-intercept is (1, 0). D.It is decreasing. E.The y-intercept is (0, 6). F.The domain is x > 6.

Answer 1

The x-intercept is (1,0). and It is increasing.

Explanation:

I just got it right on 9.6.3

Answer 2

A and C are true

Explanation:

Given:
`f(x)=\log_6x`

We need to graph the log function. Please see the attached file for graph.

Domain: x>0 All real number greater than 0.

Range: All real number.

y-intercept: Put x=0 and solve for y. (Does not exist)

y-intercept: Put y=0 and solve for x. (1,0)

Log function is increasing function.

A is true. (It is increasing)

B is False. (Because Range is all real number)

C is true. (x-intercept (1,0))

D is false. (It is decreasing.)

E is false. (The y-intercept is (0, 6))

F is false. (Domain is x>0)

Hence, A and C are true.