In Exercises 13–16, find and sketch the level curves ƒ(x, y) = c onthe same set of coordinate axes for the given values of c. We refer tothese level curves as a contour map.13. ƒ(x, y) = x + y - 1, c = -3, -2, -1, 0, 1, 2, 3

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.)

the curve of the quadratic function f: f(x)= -ax2+bx+c is drawn on the cartesian coordinate and the vertex of the curve(3,1) the curve intersects the x-axis twice where a,b,c are constants what is the value of c ?

y = 3x − 4 and y = 2x − 2 with point (2, 2)b y = − x + 3 and y = − x with point (2, 1)c y = − 4x + 1 and y = − x − 1 with point (1, − 3)d x − y = 10 and 2x + y = 8 with point (6, − 4)e 2x + y = 0 and y = 3x + 4 with point (− 1, 2)f x − 3y = 13 and y = − x − 1 with point (4, − 3)

The graph of a function g is shown. The x y-coordinate plane is given. The curve begins at the point (−2, 0), goes up and right, passes through the point (−1.5, 1), goes up and right, changes direction at the point (−1, 1.5), goes down and right, passes through the point (−0.5, 1), goes down and right, passes through the origin, goes down and right, passes through the point (0.5, −1), goes down and right, changes direction at the point (1, −1.5), goes up and right, passes through the point (1.5, −0.5), goes up and right, changes direction at the point (2, 0.5), goes down and right, crosses the x-axis at x = 2.5, goes down and right, changes direction at the point (3, −1), goes up and right, passes through the point (3.5, −0.5), goes up and right, and ends at the point (4, 0.5). Estimate 4 −2 g(x) dx with six subintervals using the following. (a) right endpoints 0 Correct: Your answer is correct. (b) left endpoints -0.5 Correct: Your answer is correct. (c) midpoints

1. Suppose that, for x ≥ 0, the curve C has equation y = 3x − x√x.(a) Find the coordinates of the x-intercepts of C.(4 marks)(b) Find the coordinates of the stationary point of C and determine whether it isa maximum, a minimum or a point of inflection.(7 marks)(c) Sketch the curve C.