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.
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