By taking different values of
x we get different values of y ehich are marked on the graph and we
get lines which represent given functions.
Question 6 Graph the following on separate graphs: y- 5 y=5+2x y=5+0.5x y=5-21
4. Graph f(x) = 2x and an= 2n on separate axes. Are the graphs the same? If differences. (3,sts) not, explain any
dx/dt = -2x-4y dy/dt = 0.5x draw the x(t) graph for the solution that starts at (x,y)=(1,1)
(-2<x<3 21 Graph the feasible region for the system-15y 35 (2x + y<6
Which equation best describes the graph at the right? Select one: a. y - 2x b. y - 0.5% coy-0.5x d. y - 2x
Question 8 a) Sketch the graph of y=sin(x) and y=sin(2x) for 0<xs. b) Show that the area of the region bounded by these graphs is 4
4. [25 POINTS]Use separate graphs to draw indifference curves for each of the following utility functions: (a) 6 POINTS] U (x, y) = min{2x + y, 2y + x}. (b) [6 PoINts] U (x,y) = max{2.x + y, 2y + x}. (c) 6 POINTS] U (x,y) = x + min {x, y}. (d) 7 POINTS] In which of these cases are preferences convex?
4. [25 POINTS]Use separate graphs to draw indifference curves for each of the following utility functions: (a)...
Match the graphs with the functions. y=1+2 y=- 6x? y=- 2x1 y=-(x+6)2 y=[x - 21 y=- [*l+2 y=x? +6 y=(x- 6)2 y=- \x+2y=2\x! y= bx? y=-x2+6 Drag the function given above into the appropriate area below to match the graph. ns in to -10 10 - 10 EA Match the graphs with the functions. a 10 a - 10 10 fr ns -n Te 10 -10 -10 Drag your answer(s) to the correct position
[21 Marks] APPLICATIONS: 1. Sketch the graph of y = -2(0.5) +5. [6] Parent function: y = 0.5 y=-2(0.5)' +5 у у х -3 -2 -1 0 1 х -3 -2 -1 0 1 State the following for the graph y = -2(0.5)* +5 Equation of the horizontal asymptote: y-intercept Range APPLICATIONS: [21 Marks] 1. Sketch the graph of y = -2(0.5)* +5. [6] Parent function: y = 0.5% y = -2(0.5)* +5 у у х -3 -2 -1 0...
Question 5: Graph the inequality. y> 3x² + 3x - 5 Question 6: Determine graphically, the solution region for the two inequalities. y > 22 - 3x - 6 and y> 2x2 + 7x + 6 Question 7: Solve the inequality algebraically and show the solution in interval form. x² + 2x - 3 > 0 Question 8: Solve the inequality algebraically and show the solution in interval form. 2x2 - 6x - 9> 11
Please graph the following functions in a separate piece of paper. I y = 3 tan (2x x- a) 2 TT y = - tan ( x + b) 4