Question 401334: Please help with the following:
1. Is the graph of f(x) = x^1171−5x^109 +3 y-axis symmetirc, origin symmetric, or neither one. Explain your answer.
2. If f(x)= x+2 over x^2+1 and g(x) = 2 over x, determine f(3), g(3), (f + g)(3), (f − g)(3), (fg)(3), (f over g) (3), f ◦ g(3), and g ◦ f(3).
4. If f(x)= 2x-3 over 4x+5, detemine a formula for f^-1(x).
5. Is f(x) = x^2+2x-3 a one-to-one function? Explain your answer
6. For the polynomial f(x)= -11x^3+3x^2-x+1, what is the degree of F and what is its leading coefficent?
7. Consider the parabola with equation f(x)= -x^2-2x+15
(a) Does the parabola open up or down?
(b) What is the equation for the axis of symmetry for the parabola?
(c) What are the coordinates of the vertex of the parabola?
(d) What is the y-intercept of the parabola?
(e) Determine the x-intercepts if there are any.
(f) Sketch a graph of the parabola.
8. 8. A parabola has an x-intercept at 2, its axis of symmetry is the line x = 4, and the y- coordinate of its vertex is 6. Determine the equation of the parabola. Hint: The equation looks like y = ax^2+bx+c. Use the given information to figure out what a, b, c must be. For example, when x = 2, the y value must be 0 since 2 is an x-intercept. That means 0 = 4a + 2b + c. The other two given facts provide similar information about a, b, c.
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! I would advise not to post too many questions into one question. You might want to reread the section in your textbook or online, and look at the example problems and how they are solved.
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