Consider the exponential functions f, g, and h, defined as shown. (in the image) Determine which function or functions have each key feature.

OPTIONS

Only h(x)
f(x) and h(x)
f(x) and g(x)
g(x) and h(x)
only g(x)
all three functions
Only f(x)

BLANKS FOR OPTIONS

Increasing on all intervals of x __1__

x-intercept at (1,0) __2__

y-intercept at (0,4) __3__

approaches an integer as x approaches - infinity__4__

(not all the options will be used just four of them!)

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)