Question: Analyze the polynomial function f(x)equalsleft parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis left parenthesis x plus 6 right parenthesis

Analyze the polynomial function f(x)equalsleft parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis left parenthesis x plus 6 right parenthesis using parts (a) through (e). Question content area bottom Part 1 (a) Determine the end behavior of the graph of the function. The graph of f behaves like yequals x cubed for large values of StartAbsoluteValue x EndAbsoluteValue. Part 2 (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are negative 3 comma 5 comma negative 6. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) Part 3 The y-intercept is negative 90. (Simplify your answer. Type an integer or a fraction.) Part 4 (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) of f is/are negative 3 comma 5 comma negative 6. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) Part 5 The least zero is a zero of multiplicity 1, so the graph of f crosses the x-axis at xequals negative 3. The middle zero is a zero of multiplicity 1, so the graph of f crosses the x-axis at xequals 5. The greatest zero is a zero of multiplicity 1, so the graph of f crosses the x-axis at xequals negative 6

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!