Question 1: Given the function \( \mathrm{f}(\mathrm{x})=3 \mathrm{x}^{2}-5 \mathrm{x}+2 \), find \( \Delta \mathrm{f}(\mathrm{x}) \), if \( \Delta \mathrm{x}=2 \)
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Answer the questions about the given function. $$ \begin{array}{l}{f(x)=-3 x^{2}+5 x} \\ {\text { (a) Is the point }(-1,2) \text { on the graph of } f ?} \\ {\text { (b) If } x=-2, \text { what is } f(x) ? \text { What point is on the graph of } f ?} \\ {\text { (c) If } f(x)=-2, \text { what is } x ? \text { What point(s) are on the graph }} \\ {\text { of } f ?} \\ {\text { (d) What is the domain of } f ?} \\ {\text { (e) List the } x \text { -intercepts, if } f \text { any, of the graph of } f .} \\ {\text { (f) List the } y \text { -intercept, if there is one, of the graph of } f} \\ {x \text { . }}\end{array} $$
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