Consider the exponential functions f, g, and h, defined as shown. function ffunction gfunction h

f(x) = -2(3)x + 6

xg(x)

-11

04

116

264

3256

Determine which function or functions have each key feature.

only h(x)

only g(x)

only f(x)

f(x) and h(x)

f(x) and g(x)

all three functions

g(x) and h(x)

increasing on all intervals of x

arrowRight

approaches an integer as x approaches -[infinity]

y-intercept at (0,4)

x-intercept at (1,0)

f is the midpoint of

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).