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Classify the following statement as true or false.

Every quadratic function either has a maximum or minimum value.

A. False, became a quadratic equation does not have a maximum value.
B. True, because the graph of quadratic function is a curve that is either increasing or decreasing.
C. True, because the graph of a quadratic function is a parabola that either opens downwards or upwards.
D. False, because a quadratic function does not have a minimum value.

Respuesta :

Answer:

C

Step-by-step explanation:

If the parabola opens upward, it has a minimum.

If it opens downwards, it has a maximum.

Every quadratic function either has a maximum or minimum value is true, because the graph of a quadratic function is a parabola that either opens downwards or upwards.

What is Quadratic Function?

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.

What are properties of quadratic functions?

Three properties that are universal to all quadratic functions:

1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior).

2) The domain of a quadratic function is all real numbers.

3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downwards.

According to the question

Every quadratic function either has a maximum or minimum value.

As per the properties of Quadratic Function

This statement is true as

i> the graph of a quadratic function is a parabola  

ii> The vertex is the lowest point when the parabola opens upwards or the vertex is the highest point when the parabola opens downwards.

Hence, Every quadratic function either has a maximum or minimum value is true, because the graph of a quadratic function is a parabola that either opens downwards or upwards.

To know more about Quadratic Function and its properties here:

https://brainly.com/question/2193294

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