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If an equation is a function, then:

  • The set of coordinates doesn't consists of the same first member. For instance, the set can't contain (1,2) and (1,1).
  • There exists only a function within the specific interval. For instance, f(x) = x within -1 ≤ x ≤ 1 and x + 2 within 1 < x ≤ 3. If f(x) = x and x + 2 within -1 ≤ x ≤ 1, then this doesn't make an equation the function.
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Determine the point at which the graph of the function has a horizontal tangent line for the equation?

For the equation (9x^2)/(x^2+4)


How can you determine the trend and the graph on alinear fuction?

To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.


Consider the equation below. Complete the table of values for the equation. Then determine whether the equation represents a function. x y -26 -1 9?

To determine if the equation represents a function, we need to see if each input ( x ) has a unique output ( y ). In the provided table, there are three values for ( x ): -26, -1, and 9. If each ( x ) corresponds to a single ( y ), then the equation represents a function. However, without knowing the specific relationship or equation that relates ( x ) and ( y ), we can't definitively complete the table or confirm the nature of the relationship.


How can you tell by looking at an function if it is linear or nonlinear?

You can determine if a function is linear by examining its graph or its equation. A linear function will produce a straight line when graphed, and its equation can be expressed in the form (y = mx + b), where (m) and (b) are constants. In contrast, a nonlinear function will create a curve or other shapes on the graph, and its equation may involve exponents, products of variables, or other non-linear terms.


How do you determine if the graph of a quadratic function has a min or max from its equation?

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value

Related Questions

Determine the point at which the graph of the function has a horizontal tangent line for the equation?

For the equation (9x^2)/(x^2+4)


What is characteristic equation in control systems?

Set 0=(denominator of the System Transfer Function), this is the Characteristic Equation of that system. This equation is used to determine the stability of a system and to determine how a controller should be designed to stabilize a system.


How do you determine if a relation represents a function?

If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!


How can you determine the trend and the graph on alinear fuction?

To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.


Consider the equation below. Complete the table of values for the equation. Then determine whether the equation represents a function. x y -26 -1 9?

To determine if the equation represents a function, we need to see if each input ( x ) has a unique output ( y ). In the provided table, there are three values for ( x ): -26, -1, and 9. If each ( x ) corresponds to a single ( y ), then the equation represents a function. However, without knowing the specific relationship or equation that relates ( x ) and ( y ), we can't definitively complete the table or confirm the nature of the relationship.


How can you tell by looking at an function if it is linear or nonlinear?

You can determine if a function is linear by examining its graph or its equation. A linear function will produce a straight line when graphed, and its equation can be expressed in the form (y = mx + b), where (m) and (b) are constants. In contrast, a nonlinear function will create a curve or other shapes on the graph, and its equation may involve exponents, products of variables, or other non-linear terms.


How do you determine if the graph of a quadratic function has a min or max from its equation?

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value


Is this equation a function y equals 3squared plus 2x minus 3 is this a function?

You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.


What is the cosine function about?

The cosine function is mathematical equation to determine the adjacent angle of a triangle. The cosine of an angle is the ratio of the length of the hypotenuse: so called because it is the sine of the co-angle.


How can you determine that a set of ordered pairs are a graph table diagram equation a function or mere relation?

In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.


Determine the nature of the solution of the equation?

The answer will depend on the equation.


What does a reactant do in an equation?

The reactants in the equation determine what product you get.