3 years ago

Estimate graphically the local maximum and local minimum of f(x) = 4x2 + 3x + 2

Mathematics

2 answers:

Juliette [100K]3 years ago

6 0

Hope this helps you. If you need any help regarding how to sketch graph, ping me

jarptica [38.1K]3 years ago

4 0

Seeing the graph from desmos.com, we know there is only one place where the graph will go up then down, or down then up given that the maximum exponent of x is it squared. That place, as seen, is -0.375 for the minimum as it goes down then up. There's no maximum in sight :(

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Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

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