Which facts are true for the graph of the function below? check all that apply.
f(x) = log7 x
a. it is increasing.
b. the y-intercept is (0, 7).
c. the domain is x > 7.
d. the x-intercept is (1, 0).
e. the range is y > 0.
f. it is decreasing.

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.