In Exercises 27-32, find the values of
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- Find the linearization of the function at a . f(x) = x 4 + 3 x2 , a = -1arrow_forwardConsider the general equation of a quadratic function: f(x)=ax2+bx+cf(x)=ax2+bx+c (Recall: aa, bb, and cc represent constants). Use the derivative f′(x)f′(x) to find the critical value of f(x)f(x) in terms of aa and bb (does this formula look familiar?) Use the second-derivative test to show that the critical value is a local maximum if a<0a<0 or a local minimum if a>0a>0. What determines whether the graph of f(x)f(x) is concave up or concave down? Does the graph of f(x)f(x) have any inflection points? Explain.arrow_forwardIn Exercises 15-18, describe the domain and range of the function. f(x, y, z) = xz + eYarrow_forward
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