(Solved): extrema and end behavior, Algebra 2 Sketch a graph with the following characteristics: - 2 relative ...

Sketch a graph with the following characteristics: - 2 relative maxima - 2 relative minima - end behavior: \( x \longrightarrow \infty, f(x) \longrightarrow-\infty \) and as \( x \longrightarrow-\infty(x) \longrightarrow-\infty \) Sheena says that in the graph of \( f(x) \) shown below, the graph has relative maxima at \( B \) and \( G \), and a relative minimum at \( A \). Is she correct? Explain. Please write your answer in complete sentences. Use Desmos to estimate the \( x \)-coordinates at which any extrema occur. Round to the nearest hundredth. Enter in numerical order from least to greatest, separated by a comma. \[ f(x)=-2 x^{4}+5 x^{3}-4 x^{2}+3 x-7 \]