What is the midpoint of the x-intercepts of f(x) = (x – 4)(x + 4)?
2 answers:
Answer:
midpoint is (0,0)
Step-by-step explanation:
the midpoint of the x-intercepts of
To find the midpoint of x intercepts, we need to find the x intercepts first
we find x intercepts by replacing f(x) with 0
Set each factor =0 and solve for x
X intercepts are -4 and 4
Midpoint of -4 and 4 is
X intercepts lies on x axis . So midpoint is (0,0)
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Answer:
Yes, the relation is a function.
Step-by-step explanation:
Given:
The equation that represents the cost of riding a cab is given as:
Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.
The above equation represents a line as it is of the form which represents a line with constant slope.
Now, in order to plot this equation, we need at least two points.
Now, let , then
. So, (0, 3) is a point on the line.
Let , then
. So, (1, 3.75) is a point on the line.
Plot these two points on a graph and draw a line passing through these two points.
Now, for a relation to be a function, it should pass the vertical line test.
According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.
Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.
