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### Gauthmathier3157

Grade 10 · 2021-08-31

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Given the following piecewise function. Graph the
function f(x) and determine which of the following
statemehts are true of f(x)
f(x)=\left\{\begin{array}{l} 2x+3,\ if-1\leq x<3\\ (x-5)^{2}-2,\ if\ x>3\end{array}\right.
I. The domain of f(x) is [-1,\infty )
II. The range for f(x) is [-2,\infty )
III. The graph of f(x) is continuous
IV. As — ∞, y\to \infty
V. There is a relative minimum value at the point (5,-2)
VI. The graph is increasing from [-1,\infty )

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### Gauthmathier1924

Grade 10 · 2021-08-31

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