F(x)
g(x)
h(x)
j(x)
jesse got $5 from his dad and he makes $2 each time he walks the neighbor's dog.
x

g(x)

–2

–1

2

–9

6

–17

a line going through the point (0, 5) and the point (3, negative 1)
j(x) = 2x – 5

compare and contrast these four functions using complete sentences. focus on the slope and y-intercept first, and then on any additional properties of each function.

Step-by-step explanation:

We will define the functions as:

f(x)=5+2x from the given information:

Now we have three points: (-2,-9) ,(-1,6) and (2,-17)

We will use two point form to find g(x)

We will use the point (-2,-9) and (-1,6) on substituting the values in the above formula we get:

On simplification we get:

Now, we will form h(x) from the points (0,5) and (3,-1) with the two point form:

On simplification we will get:

Now, we have j(x)=2x-5

We will compare the function with general equation y= mx+c; m is slope of line.

And to find y-intercept put x =0 in the given function.

The slope of f(x)=5+2x  is 2 because 2 is coefficient of x which is m

And y-intercept is:  (0,5).

g(x)=-15x-39

Slope of g(x) is -15

And y-intercept is: (0,-39).

h(x)=-2x+5

Slope of h(x) is: -2

And y-intercept is: (0,5)

j(x)=2x-5

Slope of j(x) is: 2

And y-intercept is: (0,-5).

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.  

c

step-by-step explanation: