On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the solution set. y = -x2 + 142 – 40 6x - 3y = 24 You can move the parabola by dragging the dots. Graph the line by clicking twice. -10 -9 -8 -7 -6 -5 -4 -3 2 -1 1 2 3 4 5 6 7 8 9 10
9. (5 pts) A graph of f(x) is below. No formula is given. On the second set of axes, draw the graph of the function g(x) = f(x+2)-1. foxy 3 2 -1 1 12 2 3 4 56 1 2 3 56 -6-5 -4 -3 -2 -1 0 -1 -6 -5 4 3 2 -1 0 -1 -2 2 O -3 -30 4 -4 -5 -6 -5 -6
Identify the parent function of the function whose graph is shown below. 3 2 -8-7-6---5 -3-2 0 3 4 5 6 -4 -5 -6 -7 Select the correct answer below: O ) = b O f(x) = mx + b O Of(x) = x Is the function shown in the graph below even, oddſor neither? 7 6 5 4 3 f 1 -10 0 -9 00 -7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6...
17, Graph x) = 7x-3 and its inverse on the same set of axes 18. 18. Graph g(x)=-3x + 4 and its inverse on the same set of axes. 4 and its inverse on the same set of 19. Graph f(x) 2x+1 axes. 20. Graph g(x) -2 and its inverse on the same set of аxes.
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
2. The graph of a function, f(x), is provided to the right. 2 Use this graph to answer each of the following questions. (a) You are also told that f(x) passes through (1, 0.8). -4-3-2f11 1 2 3 Find the equation of f(x), where you use the smallest degree possible. -2 (You can write your answer in factored form.) [6 pts] -3 -4 -5 -6 -7 -8 -9 (b) Based on the graph, describe the end behaviors of f(x). [2...
For the function f(x)=x" - 6x + 7x-2, state: a) the maximum number of real zeros that the function can have: b) the maximum number of x-intercepts that the graph of the function can have; and c) the maximum number of turning points that the graph of the function can have. The function f(x)=x" - 6x + 7x-2 has a maximum of real zeros. The function f(x)=x" - 6x®,+ 7x-2 has a maximum of x-intercepts. The function f(x)=x" - 6x...
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
The graph of f(x) is given below: 11 godina osno obs 11-10-9-8 -7 -6 -5 4 -3 -2 - 1 2 3 4 5 6 7 8 9 10 11 12 a-Draw a tangent to the given figure for x=9 and explain in a few words what this line tells us about the curve of the function f(x). b. In the interpretation of f19), it is said that the result oives an approximation of the function asx is increased by...
A graph of f(1) = xis shown below. 10 9 9 $ 2 ON S 4 1 3 6 8 9 10 O 10 9 8 7 6 5.4 3 2 1 A 6 $ -9 -10 y = (x + 2)2-32 Which of the following is a graph of B. 6. 01- -3 S- 9. -2 - 6 2 1 P - -3 P. 10 6 8 -1 D -10937 . 6 3. 6 OT 10 9 3 6