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#2. Given the function g(x) = -2x² + 5x + 5 a) Use Desmos to graph...
please answer ALL questions. Show all steps clearly, to receive full marks for your solutions. Use...
please answer ALL questions.
Show all steps clearly, to receive full marks for your solutions. Use the discriminant to determine the number of x-intercepts for each quadratic function: .ft) = 3x - 5x+ f = 2x +x+1 f(x) = 4x - 12x + 9 16 marks) 15. Express the function f(x) = 47° - 12x + 5 in factored form and determine the -intercepts and the vertex Sketch the graph of the function. State the minimum or maximum value. (9...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
This Question: 5 pts Use the quadratic function f(x)- -x +2x-8 to address t a) Use...
This Question: 5 pts Use the quadratic function f(x)- -x +2x-8 to address t a) Use the vertex formula to determine the vertex The vertex is Type an ordered pair. Simplify your answer) b) Does the graph "open up" or "open down"? O Down O Up c) What is the equation of the axis of symmetry? Simplify your answer.)
Use the quadratic formula to solve for x. 4x² – 5x-2=0 (If there is more than...
Use the quadratic formula to solve for x. 4x² – 5x-2=0 (If there is more than one solution, separate them with commas.) x = 0 0/0 mm 5 ? Find the x-intercept(s) and the coordinates of the vertex for the parabola y = x - 4x-12. If there is more than one x-intercept, separate them with comma x-intercept(s): 1 vertex x 5 ? Continue The function f is defined as follows. Find f(3). Simplify your answer as much as possible....
graph the quadratic function. Find the x- and y-intercepts of each graph, if any exist. If...
graph the quadratic function. Find the x- and y-intercepts of each graph, if any exist. If it is given in general form, convert it into standard form; if it is given in standard form, convert it into general form. Find the domain and range of the function and list the intervals on which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex yields a relative and absolute maximum or minimum....
f(x) = 2x2 − 5x + 3 1) What are the x-intercepts of the graph of...
f(x) = 2x2 − 5x + 3 1) What are the x-intercepts of the graph of f(x)? Show your work. 2) Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. 3) What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
In order to determine if a function f has an inverse from only its graph, use...
In order to determine if a function f has an inverse from only its graph, use the In order to determine if two functions are inverses of each other from only their graphs, check to see that the graph of one function is a __ of the graph of the other function across the line The domain off is the same as the offis the same as the of its inverse function and the range of its inverse function. (a)...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x +...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
Ay U 3- Use the vertex and intercepts to sketch the graph of the quadratic function...
Ay U 3- Use the vertex and intercepts to sketch the graph of the quadratic function Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range, fix)=x2-x-2 Use the graphing tool to graph the equation. Use the vertex and one of the intercepts to graph the equation. Click to enlarge graph 2 1 2 The axis of symmetry is (Type an equation) Identify the function's domain The domain is (Type the...
please answer ALL questions.
Show all steps clearly, to receive full marks for your solutions. Use the discriminant to determine the number of x-intercepts for each quadratic function: .ft) = 3x - 5x+ f = 2x +x+1 f(x) = 4x - 12x + 9 16 marks) 15. Express the function f(x) = 47° - 12x + 5 in factored form and determine the -intercepts and the vertex Sketch the graph of the function. State the minimum or maximum value. (9...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
This Question: 5 pts Use the quadratic function f(x)- -x +2x-8 to address t a) Use the vertex formula to determine the vertex The vertex is Type an ordered pair. Simplify your answer) b) Does the graph "open up" or "open down"? O Down O Up c) What is the equation of the axis of symmetry? Simplify your answer.)
Use the quadratic formula to solve for x. 4x² – 5x-2=0 (If there is more than one solution, separate them with commas.) x = 0 0/0 mm 5 ? Find the x-intercept(s) and the coordinates of the vertex for the parabola y = x - 4x-12. If there is more than one x-intercept, separate them with comma x-intercept(s): 1 vertex x 5 ? Continue The function f is defined as follows. Find f(3). Simplify your answer as much as possible....
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
In order to determine if a function f has an inverse from only its graph, use the In order to determine if two functions are inverses of each other from only their graphs, check to see that the graph of one function is a __ of the graph of the other function across the line The domain off is the same as the offis the same as the of its inverse function and the range of its inverse function. (a)...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
Ay U 3- Use the vertex and intercepts to sketch the graph of the quadratic function Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range, fix)=x2-x-2 Use the graphing tool to graph the equation. Use the vertex and one of the intercepts to graph the equation. Click to enlarge graph 2 1 2 The axis of symmetry is (Type an equation) Identify the function's domain The domain is (Type the...
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