Question

If f(x)=−4e^x, find f(6) rounded to the nearest tenth

Answer 1

To find f(6) for the function f(x)=-4e^x, we substitute 6 into the function, calculate using e raised to the power of 6, multiply by -4, and then round to the nearest tenth, resulting in approximately -1613.7.

Step-by-step explanation:

To find f(6) for the function f(x)=-4e^x, we substitute x with 6 and calculate the result:

f(6) = -4e^6

Now, using a calculator to compute e^6 and then multiplying by -4, we get:

f(6) ≈ -4 × 403.4287935 ≈ -1613.715174

Finally, we round this to the nearest tenth to obtain:

f(6) ≈ -1613.7