Questions: Need Help? f(x) = x^4 + 1.25x^3 - 0.62x Complete the missing values and indicated in the table below. (x) f(x) 64 -3 16 -2 4 -1 1 0 0.25 1 0.0625 2 0.015625 3

Solution Steps

To complete the missing values in the table, we need to evaluate the function \( f(x) = x^4 + 1.25x^3 - 0.62x \) for each given \( x \) value. We will substitute each \( x \) into the function and compute the corresponding \( f(x) \).

Substituting \( x = 64 \) into the function: \[ f(64) = 64^4 + 1.25 \cdot 64^3 - 0.62 \cdot 64 = 17104856.32 \]

Substituting \( x = 16 \) into the function: \[ f(16) = 16^4 + 1.25 \cdot 16^3 - 0.62 \cdot 16 = 70646.08 \]

Substituting \( x = 4 \) into the function: \[ f(4) = 4^4 + 1.25 \cdot 4^3 - 0.62 \cdot 4 = 333.52 \]

Substituting \( x = 1 \) into the function: \[ f(1) = 1^4 + 1.25 \cdot 1^3 - 0.62 \cdot 1 = 1.63 \]

Substituting \( x = 0.25 \) into the function: \[ f(0.25) = (0.25)^4 + 1.25 \cdot (0.25)^3 - 0.62 \cdot 0.25 = -0.1316 \]

Substituting \( x = 0.0625 \) into the function: \[ f(0.0625) = (0.0625)^4 + 1.25 \cdot (0.0625)^3 - 0.62 \cdot 0.0625 = -0.03843 \]

Substituting \( x = 0.015625 \) into the function: \[ f(0.015625) = (0.015625)^4 + 1.25 \cdot (0.015625)^3 - 0.62 \cdot 0.015625 = -0.0096827 \]

Final Answer