Answer:
Step-by-step explanation:
Notice that the leftmost endpoint, 2, has a closed circle, which means that it is included in the inequality. Also, the rightmost endpoint, 8, has an open circle, which means that is NOT included in the inequality.
Because the inequality only includes what is between the two numbers, you write the inequality as to show that -2 is included and 8 is not included.
Step 1
<u>Find the slope of the function f(x)</u>
we know that
The formula to calculate the slope between two points is equal to
Let
substitute
Step 2
<u>Find the y-intercept of the function f(x)</u>
The y-intercept is the value of the function when the value of x is equal to zero
in this problem the y-intercept of the function is the point
so
the y-intercept is equal to
Step 3
Verify each case
we know that
the equation of the line into slope-intercept form is equal to
where
m is the slope
b is the y-intercept
<u>case A) </u>
In this case we have
therefore
the function of case A) does not have the same slope as the function f(x)
<u>case B) </u>
In this case we have
therefore
the function of case B) does not have the same slope and y-intercept as the function f(x)
<u>case C) </u>
In this case we have
therefore
the function of case C) does have the same slope and y-intercept as the function f(x)
<u>case D) </u>
In this case we have
therefore
the function of case D) does not have the same y-intercept as the function f(x)
therefore
<u>the answer is</u>