1) Using the graph at the right, decide if the following coordinates are part of this step function: \( f(x)=2 \left \lfloor{x}\right \rfloor +3 \).
Note: \( \left \lfloor{x}\right \rfloor \) denotes the "floor" of \( x \) or the "greatest integer less than or equal to \( x \) ". Essentially this operator rounds all values down to the nearest integer. a) \((0,3)\) b) \((0.4,3)\) c) \((-1,-1)\) d) \((-1.2,-1)\) e) \((2.99,9) \) f) \((1,5)\) |
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2) Given the function, \( f(x)=\left \lfloor{x}\right \rfloor+32 \), what is the value of \(f(-4.5)\)?
3) Multiple choice: Find the graph that matches the given equation: \( f(x)=-\frac{1}{2} \left \lfloor{x}\right \rfloor +3 \).