Answer:
x: (-5.0)
y: (0, -17.5)
Step-by-step explanation:
The x-intercept of the line is when y=0. In the table is the point (-5,0). This is the x-intercept.
To find the y-intercept, find when x=0. Write an equation for the table in y=mx + b. Find the slope between two points first.
The slope is -3.5. So the equation is
y - 7 = -3.5(x--7)
y - 7 = -3.5 (x+7)
y - 7 = -3.5x - 24.5
y = 3.5x - 17.5
Since it is in y=mx+b, b= -17.5 and this is the y-intercept.
Answer:
Step-by-step explanation:
By definition, the average rate of change of a function f over an interval [a,b] is given by
compute the quantity
for all the three function
Average rate of change of f:
We will simply use the table to check the values for f(3) and f(0):
Average rate of change of g:
We will use the graph to to check the values for g(3) and g(0):
Average rate of change of h:
We can plug the values in the equation to get h(3) and h(0):
And so the average rate of change is
The slope of an absolute function at the point where it evaluates to zero is undefined.
Here, when x=1, so |4x-4|=|4-4|=|0|, the slope is undefined. This is where the vertex of the "V" on the graph of the absolute value function.
Answer:
15
Step-by-step explanation:
4-(-2)+3(3)
4+2+9
15