Is x^2+y^2=5 a function? why or why not?
1 answer:
Answer:
No.
Step-by-step explanation:
A function must past the Vertical Line Test. We know that our equation x² + y² = 5 is a circle, and so some x-values have the same y-values, etc. Since not every x-value has its own y-value, our equation is <em>not</em> a function.
We can see this using a graph:
Since the vertical line test passes 2 points with the same x-value, it is not a function.
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Answer:
Step-by-step explanation:
To find the slope of the equation use .
So, =
. Now we can use our slope and any of the two points to write in point-slope form, which is
. Using the point (7,-6), the formula will give
.
To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.
For h(x) = -7x + 10, x =1
For r(x) = 4/5x+ 7 , x = -15
Step-by-step explanation:
in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values
So,
<u>h(x) = -7x + 10; h(x) = 3</u>
Dividing both sides by -7
<u>r(x) = 4/5x+7; r(x) = -5</u>
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Keywords: Functions
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