Question: 1-Consider the 4 degree function f (x) = x4 + ax2 + b. a) Find all values of a such that f(x) has exactly one

$1-Consider the 4\"\" degree function f (x) = x4 + ax2$

1-Consider the 4\"\" degree function f (x) = x4 + ax2 + b. a) Find all values of a such that f(x) has exactly one critical number. What is that critical number? b) Can this function have exactly two critical numbers? Explain your answer. c) Find all values of a such that f(x) has three critical numbers. Explain. d) Can f(x) have more than three critical numbers? Explain

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