Question

) The function g(x) = x^3 + (x + 1)^2

is used to create this table. Find the missing values. Must show work
for full credit.

Answer 1

Hi There!

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Function: g(x) = x³ + (x + 1)²

Substitute: -1

Substitute: g(-1) = -1³ + (-1 + 1)²

Remember to follow PEMDAS.

Parenthese's: g(-1) = -1³ + (0)²

Exponents: g(-1) = -1 + 0

Simplify: g(-1) = -1

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Function: g(x) = x³ + (x + 1)²

Substitute: 1

Substitute: g(1) = 1³ + (1 + 1)²

Remember to follow PEMDAS.

Parenthese's: g(1) = 1³ + (2)²

Exponents: g(1) = 1 + 4

Simplify: g(1) = 5

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Hope This Helps :)

Answer 2

g(-1) = -1

g(1) =5

Explanation:

g(x) = x^3 + (x + 1)^2

If x=-1 substitute this into the equation

g(-1) = (-1) ^3 + (-1+1)^2

g(-1) = 1+0 =-1

If x=1 substitute this into the equation

g(1) = (1)^3 + (1+1)^2 = 1+2^2 = 1+4 =5