The functions f(x) and g(x) are described using the following equation and table: f(x)=4(1.02)^x
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which statement best compares the y-intercepts of f(x) and g(x)?
a. the y-intercept of f(x) is equal to the y-intercept of g(x).
b. the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
c. the y-intercept of g(x) is equal to 2 times the y intercept of g(x)
d. the y intercept of g(x) is equal to 2 plus the y intercept of f(x).

Option: D is the correct answer.

     D.  The y intercept of g(x) is equal to 2 plus the y intercept of f(x).

We know that the y-intercept of a function is the y-value of the point where the x-value is zero.

i.e. it is the value of the function  where x=0.

The function f(x) is given by:

Now, when x=0 we have:

and after looking at the table of values of the function f(x) we observe that:

when x=0      g(x)=6.

This means that the y-intercept of function f(x) is : 4

and the y-intercept of the function g(x) is : 6

i.e. y-intercept of the function g(x) =2+y-intercept of function f(x)

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

answer: sine

step-by-step explanation: