Question

Choose the function represented by the data.

O f(x) = h2 + 4h + 80
O f(x)=5h2 -5h + 13
O f(x) = h +50h2 - 120h
O f(x) = 5h3 - 50h2 + 130h

Answer 1

Option (4)

Explanation:

To solve this problem we will satisfy the polynomials given in the options with the input-output values given in the table.

Lets take a point (4, 40),

Option (1),

f(h) = h² + 4h + 80

40 = 4² + 4(4) + 80

40 = 16 + 16 + 80

40 = 112

False.

Therefore, table doesn't represent the polynomial given in option (1).

Option (2)

f(h) = 5h²- 5h + 13

40 = 5(4)² - 5(4) + 13

40 = 80 - 20 + 13

40 = 73

False.

Therefore, table doesn't represent the polynomial given in option (2).

Option (3)

f(h) = h³ + 50h² + 13

40 = 4³ + 50(4)²+ 13

40 = 64 + 800 + 13

40 = 873

False.

Therefore, table doesn't represent the polynomial given in option (3).

Option (4)

f(h) = 5h³- 50h²+ 13h

40 = 5(4)³ - 50(4)²+ 130(4)

40 = 320 - 800 + 520

40 = 840 - 800

40 = 40

True.

Therefore, given table represents this polynomial.

Option (4) will be the answer.