Quadratic Function Analysis: Finding the Increasing Interval Between Points A and B

Note that the graph of the function intersects the x-axis at points A and B

Moreover the vertex of the parabola is marked at point C

Identify the segment below where the function increases:

BBBAAACCC

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1

Understand the problem

Note that the graph of the function intersects the x-axis at points A and B

Moreover the vertex of the parabola is marked at point C

Identify the segment below where the function increases:

BBBAAACCC

2

Step-by-step solution

From the graph we can see that the parabola is a smiling parabola,

meaning that its extreme point is a minimum point.

If we describe it in words, until the extreme point the function decreases,

after the extreme point it increases.

Since we measure the progress using X,

we can say that the function increases whenever X is greater than point C, the extreme point.

Mathematically we can write:

X>C

As we already said, as long as X is greater than C, the function increases.

3

Final Answer

x>C x > C

Practice Quiz

Test your knowledge with interactive questions

Note that the graph of the function below does not intersect the x-axis

Moreover the parabola's vertex is A

Identify the interval where the function is increasing:

XXXAAA

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