Answer:
-1/3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
Answer:
(0, 3)
Step-by-step explanation:
The y-intercept of any function can generally be defined as: 
, since the y-intercept is when the function crosses the y-axis.
Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.
By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer
Answer:
perp. : 1/3= m
y + 8 = 1/3(x -4): answer is c
y + 24/3 = (1/3)x - 4/3
y = (1/3)x - 28/3
Step-by-step explanation:
answer is c
