Question: Rewrite this: 2. Mathematical Expression for F(x): The function can be expressed as: F(x)=2003x/4F(x)=2003x/4 3. Domain and Range of F(x): Domain: All real numbers, x0x0

Rewrite this: 2. Mathematical Expression for F(x): The function can be expressed as: F(x)=2003x/4F(x)=2003x/4 3. Domain and Range of F(x): Domain: All real numbers, x0x0 (since time cannot be negative). Range: F(x)>0F(x)>0 (since the number of bacteria cannot be negative). 4. Find F(x) and F '(x) at any point: Let's find F(x) and F'(x) at x=4x=4: F(4)=20034/4=2003=600F(4)=20034/4=2003=600 To find F'(x), differentiate: F(x)=200ln(3)3x/414F(x)=200ln(3)3x/441 At x=4x=4: F(4)=200ln(3)34/414=50ln(3)3F(4)=200ln(3)34/441=50ln(3)3 5. Find all x values for which F '(x) = 0: Since F(x)=50ln(3)3x/4F(x)=50ln(3)3x/4, and exponential functions are never zero, F(x)0F(x)=0 for any real x

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