Answer:
The average rate of change is equal to 
Step-by-step explanation:
we have
-----> this is a linear direct variation
we know that
The rate of change of a linear variation is a constant
The rate of change of a linear variation is equal to the slope of the line
In this problem the slope of the line is equal to 
therefore
The average rate of change is equal to
<u>Verify</u>
the average rate of change is equal to
In this problem we have
Substitute
Answer:
y = 2x - 4
Step-by-step explanation:
Rearrange the given equation to slope-intercept form.
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
The slope of the given line is -1/2. The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.
-1/2 = 2
Find the equation of the new line with the point-slope form using the new slope and given point.
y - y₁ = m(x - x₁)
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 4
The equation will be y = 2x - 4.
3/7= 0.428571
3/6= 0.5
3/5= 0.6
So 3/5 is the greatest of all of them.
Checking the <span>discontinuity at point -4
from the left f(-4) = 4
from the right f(-4) = (-4+2)² = (-2)² = 4
∴ The function is continues at -4
</span>
<span>Checking the <span>discontinuity at point -2
from the left f(-2) = </span></span><span><span>(-2+2)² = 0
</span>from the right f(-2) = -(1/2)*(-2)+1 = 2
∴ The function is jump discontinues at -2
</span>
<span>Checking the <span>discontinuity at point 4
from the left f(4) = </span></span><span><span>-(1/2)*4+1 = -1
</span>from the right f(4) = -1
but there no equality in the equation so,
</span><span>∴ The function is discontinues at 4
The correct choice is the second
point </span>discontinuity at x = 4 and jump <span>discontinuity at x = -2</span>
