Blog

Find the x- and y-intercepts of f.f(x) = (x + 2)(x – 3)(x + 3) (list multiple intercepts in order from least to greatest)   x-int: [xint] y-int: [yint]  

For the given functions f and g, find the requested composite function.f(x) = 6x + 14,  g(x) = 5x – 1;Find (f ∘ g)(x). You MUST show your work for this question.  On your scratch paper, copy the problem and show the steps you used to solve it.  Type in the answer, then hold the paper up to your webcam for at least 5 seconds so that your work can be verified.  Failure to do so could cause a score of 0 points for this question. 

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = 2(x + 5)(x – 3)2   smaller zero: [smaller], with multiplicity = [mult1].  The graph [crossoortouch1] (crosses or touches?) the x-axis at this point.  larger zero: [larger], with multiplicity = [mult2].  The graph [crossortouch2] (crosses or touches?) the x-axis at this point. 

Find the vertex and axis of symmetry of the graph of the function.f(x) = -5×2 – 10x + 8   vertex = [point] axis of symmetry: [equation]

Use vertex form y = a(x – h)2 + k to determine the quadratic function whose graph is given. Write your final answer in standard form. Vertex:  (-2, -3) y-intercept: (0, 5) You must show your work for this question.  On your scratch paper, copy the problem and show the steps you used to solve it.  Type your answer below, then hold the paper up to your webcam for at least 5 seconds so that your work can be verified.  Failure to do so could cause a score of 0 points for this question. 

For the given functions f and g, find the requested composite function value.f(x) = 2x + 2,  g(x) = 4×2 + 3;Find (g ∘ f)(2).   (g ∘ f)(2) = [blank]

Use vertex form y = a(x – h)2 + k to determine the quadratic function whose graph is given. Write your final answer in standard form. Vertex:  (-1, 1) y-intercept: (0, 3) You must show your work for this question.  On your scratch paper, copy the problem and show the steps you used to solve it.  Type your answer below, then hold the paper up to your webcam for at least 5 seconds so that your work can be verified.  Failure to do so could cause a score of 0 points for this question. 

Determine the maximum number of turning points of f.f(x) = 3×8 – 2×7 – 6x – 24

Identify the scatter diagram of the relation that appears linear.

Determine the maximum number of turning points of f.f(x) = 5×7 + 2×6 – 4x – 14