Question

Evaluate the function f(x)=5x⁴−2x⁵ at x=0 and provide the result.

Answer 1

To evaluate the function f(x) at x = 0, you substitute 0 into the equation, which results in f(0) = 5(0)^4 - 2(0)^5, simplifying to f(0) = 0. The result of the function f(x) at x = 0 is therefore 0.

Step-by-step explanation:

To evaluate the function f(x) = 5x⁴ - 2x⁵ at x = 0, we simply substitute the value of 0 for x into the function.

f(0) = 5(0)⁴ - 2(0)⁵

This simplifies to:

f(0) = 5(0) - 2(0)

Since any number raised to any power multiplied by 0 is 0, we have:

f(0) = 0 - 0

So, f(0) = 0. This means that the function f(x) evaluates to 0 when x is 0.