The range of the function in each of three ways are
- Inequality Notation: f(x) >= -13
- Set Builder Notation: {y ∈ Z | y >= -13)
- Interval Notation: [-13, ∝)
How to determine the range of the function?
The equation of the function is given as:
f(x) = 3x^2 - 18x + 14
From the graph, we have the vertex to be
(x, y) = (3, -13)
Remove the x value
y = -13
The curve of the graph opens upward.
So, the range is
y >= -13
Rewrite as:
f(x) >= -13
The above represents the inequality notation.
As an interval notation, we have [-13, ∝)
As a set builder notation, we have {y ∈ Z | y >= -13)
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