What type of graph is x 2 y 2 16?

What type of graph is x 2 y 2 16?

This is the form of a hyperbola.

What does the equation x 2 y 2 16 represents?

It is an equation, not a function. The equation can be restated as a level set of the function f(x, y) x2 + y2 or equivalently the null set of the function g(x, y) x2 + y2 – 16. It can also be thought of as the union of graphs of single variable functions

What is the radius of a circle with an equation x 2 y 2 16?

The radius is √16.

Does x 2 y 2 16 represent a function?

No. It’s not a function. each x value has 2 y values.

What type of graph is X 2?

It is an equation, not a function. The equation can be restated as a level set of the function f(x, y) x2 + y2 or equivalently the null set of the function g(x, y) x2 + y2 – 16. It can also be thought of as the union of graphs of single variable functions

Does x 2 y 2 25 represent a function?

x2+y2=25 is not a function

How do you find the radius of a circle with an equation?

The center-radius form of the circle equation is in the format (x h)2 + (y k)2 r2, with the center being at the point (h, k) and the radius being r. This form of the equation is helpful, since you can easily find the center and the radius.

What is the radius for a circle whose equation is x 2 y 2 64?

r =√64 = 8 units. Answer.

What is the radius for a circle whose equation is x 2 y 2 36?

Hence, x2+y2=36 is equation of a circle with center at (0,0) and radius 6 and accordingly we graph it

How do you find the radius of a circle with x 2 y 2?

x2 + y2 r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 r2 .

How do you know if an equation is a function?

It is an equation, not a function. The equation can be restated as a level set of the function f(x, y) x2 + y2 or equivalently the null set of the function g(x, y) x2 + y2 – 16. It can also be thought of as the union of graphs of single variable functions

Does x 2 y 2 represent a function?

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

How do you know if Y represents a function of x?

x2+y21 does not describe a function because there exist valid values of x for which more than one value of y make the equation true.

What type of line is the graph of x − 2?

Precalculus Examples Since xu22122 is a vertical line, there is no y-intercept and the slope is undefined.

Is X 2 a linear function?

Explanation: Linear means that the graph or drawing of the function is a straight line. Any equation with a single independent variable (often an ‘x’) that is not exponential ( x2,x3 ) is linear. Yes

Does x 2 y 25 define Y as a function of x?

The rule is that you plug in x and y and must have x2+y225 be true. The domain is important. For example, if the domain is only xu22125 and x5, then you have a function since it is well defined (passes the vertical line test). If you include all x, this is not a function since it fails the vertical line test.

Is x2 y2 25 a linear function?

The equation is not linear, so a constant slope does not exist. Graph a dashed line, then shade the area below the boundary line since y is less than .

How do you find the center and radius of a circle from an equation?

In order to find the center and radius, we need to change the equation of the circle into standard form, ( x u2212 h ) 2 + ( y u2212 k ) 2 r 2 (x-h)^2+(y-k)^2r^2 (xu2212h)2+(yu2212k)2r2, where h and k are the coordinates of the center and r is the radius.

What is the formula to find radius?

by dividing the diameter by 2.Formulas for Radius.Radius FormulasRadius in Terms of CircumferenceC u2044 2u03c0Radius in Terms of Areau221a(A u2044 u03c0)1 more row

What is the radius of a circle whose equation is x 2 y 2 8?

2√2 units
The radius of the circle whose equation is x2 + y2 = 8 is 2√2 units.

What is the radius of the circle given the equation?

The formula for the equation of a circle is (x h)2+ (y k)2 r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

How do you find the radius of an equation?

x2 + y2 r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 r2 .

What is the center and radius of the circle X − 2 2 y2 36?

(1) and eqn. (2). r^2 64 x26gt;. r u221a64 8 units

How do you find the radius of a circle with X?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 r^2, where ( h, k ) is the center and r is the radius.

How do you find the radius of a circle given two points?

What is the center and radius of the circle? In order to find the center and radius, we need to change the equation of the circle into standard form, ( x u2212 h ) 2 + ( y u2212 k ) 2 r 2 (x-h)^2+(y-k)^2r^2 (xu2212h)2+(yu2212k)2r2, where h and k are the coordinates of the center and r is the radius.

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