Which of these tests can be used to determine if a graph represents a function?

vertical line test
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

How do we write y as a function of the independent variable x?

The domain variable (x) is referred to as the independent variable. The range variable (y) is referred to as the dependent variable. Usually function notation is used to represent a relation which is a function. Given that relation “f” is a function, it can be represented as y = f(x) (stated as “y equals f at x”).

How do you determine a function from a table?

How To: Given a table of input and output values, determine whether the table represents a function.

1. Identify the input and output values.
2. Check to see if each input value is paired with only one output value. If so, the table represents a function.

How do you determine the domain of a function?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

How do we evaluate a function?

To evaluate a function, substitute the input (the given number or expression) for the function’s variable (place holder, x). Replace the x with the number or expression. 1. Given the function f (x) = 3x – 5, find f (4).

What is a function in math table?

A function is a rule that assigns a set of inputs to a set of outputs in such a way that each input has a unique output. A function table in math is a table that describes a function by displaying inputs and corresponding outputs in tabular form.

What is the formula to find the radius of a circle?

Therefore, the radius of a circle is CP. By using distance formula, (x-h) 2 + (y-k) 2 = CP 2. Let radius be ‘a’. Therefore, the equation of the circle with centre (h, k) and the radius ‘ a’ is, (x-h) 2 +(y-k) 2 = a 2. which is called the standard form for the equation of a circle. Equation of a Circle in General Form

How do you find the centroid from the origin of axes?

The final centroid location will be measured with this coordinate system, i.e. x c will be the distance of the centroid from the origin of axes, in the direction of x, and similarly y c will be the distance of the centroid from the origin of axes, in the direction of y.

What is the mathematical way to describe a circle?

The mathematical way to describe the circle is an equation. Here, the equation of the circle is provided in all the forms such as general form, standard form along with the examples. Consider an arbitrary point P(x, y) on the circle. Let ‘ a’ be the radius of the circle which is equal to OP.

How do you find the equation of a circle with center?

The equation of circle with (h,k) center and r radius is given by: (x-h) 2 + (y-k) 2 = r 2. Thus, if we know the coordinates of the center of the circle and its radius as well, we can easily find its equation. Example: Say point (1,2) is the center of the circle and radius is equal to 4