Identify a function f that has the given characteristics.

Last updated: 7/16/2022

Identify a function f that has the given characteristics. Then sketch the function. f(0) = 3 f'(x) = 3,00 < x < 00 Step 1 We are given f '(x) = 3, -∞0 < x < . This means the derivative of our function f is constant for all real numbers. Another way to think of this is that the slope of the tangent line to f is the same regardless of where we are on f. What type of function has a constant slope? linear cubic exponential quadratic Step 2 We determined that f is a linear function, and we know f '(x) is the slope. Write the general form of a linear function replacing the slope with f '(x). f(x) = mx + b = = f'(x) x + b MmF(x) Submit x + b Skip (you cannot come back)