What do the following two equations represent?
2 answers:
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Answer:
The value of f(x) when x=-1 is 0.5
Therefore
Step-by-step explanation:
Given that y=f(x)=
to find the f(x) when x=-1 :
That is to find f(-1)
Put x=-1 in the given function f(x)=
Therefore
The value of f(x) when x=-1 is 0.5
Answer:
Step-by-step explanation:
The equation represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have .