For the given functions f (x), let x, = 0, x1 = 0.6, and x2 of degree two to approximate f (0.45), = 0.9. Construct interpolation polynomials f (x) = /I+x a. b. find the absolute error.

Determine the intervals of concavity for the function g(x) = ¤ª – x³ – a² + 8x – 5. - x³ – x² + 8x – 5. Note: If there are multiple intervals for which the function is concave up/concave down, use this format (-, -)U(-, -). Concave up interval(s) = Concave down interval(s) =

Define f(x) = 5 + 4x – x² - What is the range of this function? (-0, 2] (-00, 9] o, 0) (-00, 00) [4, 0)

Write the following function f(x,y) (x3 -12x2y -3xy2) +i(2x3+3x2y-6xy2-y3+ C) in terms of f(z) only.