Question

Using the graph as your guide, complete the following statement.The discriminant of the function is _____.

Answer 1

The discriminant of the function will be negative.

Option C is true.

What is mean by Discriminant?

The discriminant of the function describe the roots of the function.

Which is defined as for a quadratic equation ax² + bx + c = 0;

D = b² - 4ac

Given that;

The graph of the function is shown in attached figure.

Now,

When the graph has any x - intercepts then the function has a real roots, so the discriminant must be positive.

Here, From the given graph of the function,

We have the function which have no any x - intercept, that is do not cross the x - axis at any point.

Hence, The graph of the function has no real roots.

Thus, We can say that;

The discriminant must be negative.

Therefore, The discriminant of the function is negative.

Learn more about the discriminant visit:

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