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Given x^2 + y^2 = 16, findname:center:Domain:Range:x-inty-int
2 answers:
Answer:
see explanation
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 16 ← is the equation of a circle
centre (0, 0 ) and r = = 4
The circle therefore intercepts the x- axis at (4, 0 ) and (4, 0 )
and intercepts the y- axis at (0, - 4 ) and (0, 4 )
Domain is - 4 ≤ x ≤ 4
range is - 4 ≤ y ≤ 4
x- intercepts are x = - 4, x = 4
y- intercepts are - 4, 4
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Answer and Step-by-step explanation:
In the picture:
The graph is shaded to the right, because everything that is above -2 is allowed, so the shaded region is what is allowed to be true in this inequality.
The line is dotted because the inequality is only using greater than or less than, and not greater than or equal to, or less than or equal to.
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