Write the answer in interval notation. NOTE: If the answer includes more than on

Question

Write the answer in interval notation.

NOTE: If the answer includes more than one interval write the intervals separated by the union symbol, U.

Write the answer in interval notation.

NOTE: If the answer includes more than one interval write the intervals separated by the union symbol, U.

Given the function f(x) = 3x2 + 2x + 4 Calculate the following values: f(0) = f(-4) = f(4) = The domain of the function  f(x) = 3x2 + 2x + 4 is Write the answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter -infinity as - inf and -infinity as inf. The domain of the function f(x) = 1 - x2 is Write the answer in interval notation. Given the function f(x) = 1 - x2 . Calculate the following values: (Note: if x is not in the domain type UD  for undefined) x f(0) = f(1) = f(2) =

Explanation / Answer

f(x) = 3x^2 + 2x + 4

f(0) = 0 + 0 + 4 = 4

f( - 4 ) = 48 - 8 + 4

= 44

f(4) = 48+8+4

=60

Domain of 3x^2 + 2x + 4 is ( - inf , inf )

f(x) = sqrt( 1 - x^2 )

1 - x^2 > = 0

=> ( 1- x) ( 1 + x) >= 0

=> ( x- 1 ) ( x + 1 ) , = 0

so domain is -1 <= x < =1

or [ -1 , 1 ]

f(0) = sqrt(1) = 1

f(1) = 0

f(2) = sqrt( 1 - 4 ) = sqrt(3) i

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