What does a linear function in a graph makes it a function?

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer: makes it a function if it is straight or if no points touch and if it has a constant rate of change

Step-by-step explanation:

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ololo11 [35]

Answer:

A. 12

B. 26

Step-by-step explanation:

A. If the output is x = 3, then we just need to substitute 3 in place of x in the equation 2x + 6. This will give us a new equation, 2(3) + 6. 2 times 3 is 6, so we have 6 + 6 which is 12.

B. If the output is x = 10, then we just need to substitute 10 in place of x in the equation 2x + 6. This will give us a new equation, 2(10) + 6. 2 times 10 is 20, so we have 20 + 6 which is 26.

6 0

3 years ago

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts