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Question #32b
h(x)=x^3-x+1

Question #32b h(x)=x^3-x+1-example-1

1 Answer

4 votes

Answer:

h(-2) = -5

Explanation:

Put -2 where x is and do the arithmetic.

h(x) = x^3 -x +1

h(-2) = (-2)^3 -(-2) +1 = -8 +2 +1

h(-2) = -5

_____

Additional comment

As you know, the exponent signifies repeated multiplication. For x=-2, the expression x^3 evaluates as ...

(-2)^3 = (-2)(-2)(-2) = 4(-2) = -8

The odd power means there will be an odd number of minus signs among the factors, so the product will be negative. This means you can simplify the expression right away to ...

(-2)^3 = -(2^3) = -8

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