a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the s
1 answer:
I have attached an image showing the graph of the function.
Answer:
Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.
Step-by-step explanation:
First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.
Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.
This means that f(x) = 0 at x = 15 and at x = 70.
Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.
Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70
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Answer:
See explanation
Step-by-step explanation:
The given circle has center O.
A, B,C, and D are points on the circumference of the circle.
We want to prove that:
We need to join to B and C as shown in the attachment.
Recall that angle subtended by arc BC at the center is twice the angle subtended at the circumference by the same arc.
This implies that:
The LHS of equation (1) and (2) are equal. Therefore the RHS are also equal.
This implies that:
ANSWER
To graph the function
follow the steps below.
1. Find y- intercept by plugging in
.
is on the interval, 
, so we substitute in to
Hence the y-intercept is
2. Find x-intercept by setting
This implies that
on
or
on 
We now solve for
on each interval,
on
or
on
But observe that
does not belong to
This means it can never be an intercept for this piece-wise function.
Hence our x-intercept is
3. Plotting the boundaries of the interval.
For on
.
This point coincides with the x-intercept.
So we have the point
. But note that 
does not belong to this interval so we plot this point as a hole.
For
on
So we plot
So we plot
also as a hole.
Plotting all these points we can now graph the function,
See attachment for graph.
To graph the function
follow the steps below.
1. Find y- intercept by plugging in
Hence the y-intercept is
2. Find x-intercept by setting
This implies that
or
We now solve for
or
But observe that
This means it can never be an intercept for this piece-wise function.
Hence our x-intercept is
3. Plotting the boundaries of the interval.
For
This point
So we have the point
For
So we plot
So we plot
Plotting all these points we can now graph the function,
See attachment for graph.