If , then the equation of the curve y = f(x) passing through (0, 1) is

Suppose the curve goes through the point (1,3), then determine the equation of the curve

What is the equation of the line normal to f(x) at the point x=1?

Suppose that a parametric curve C is given by the equations x = f (t), y = g(t) for0 ≤ t ≤ 1 Find parametric equations for C that reverse the direction the curve is tracedas the parameter increases from 0 to 1

The graph of a function f is given in the figure.A curve is shown on the x y coordinate plane. It begins at the point (−2, −1), goes up and to the right, passes through the approximate point (−1, −0.2), and passes through the negative x-axis at the approximate point (−0.8, 0). It then continues up and right, passes through the positive y-axis at the point (0, 1), and reaches a high point at (1, 3). It then goes down and right, passes through the points (2, 2) and (3, 1), and ends at the approximate point (4, 0.5).(a)Find the value of f(1).(b)Estimate the value of f(−1).(c)For what values of x is f(x) = 1? (Enter your answers as a comma-separated list.) (d)Estimate the value of x such that f(x) = 0.x = (e)State the domain and range of f. (Enter your answers in interval notation.)domain range (f)On what interval is f increasing? (Enter your answer using interval notation.)

Determine whether the equation is a function.y =