Open Question
For each polynomial function, identify its graph from choices A–F. ƒ(x)=-(x-2)(x-5)
4. Polynomial Functions
Graphing Polynomial Functions
Back4. Polynomial Functions
Graphing Polynomial Functions
- Multiple Choice
Based on the known points plotted on the graph, determine what intervals the graph should be broken into.
Plotted points are: &
- Multiple Choice
Graph the polynomial function. Determine the domain and range.
- Open QuestionGraph each function. Determine the largest open intervals of the domain over which each function is (a) increasing or (b) decreasing. See Example 1. ƒ(x)=2x^4
- Open QuestionIn Exercises 11–14, identify which graphs are not those of polynomial functions.
- Open QuestionIn Exercises 19–24,(a) Use the Leading Coefficient Test to determine the graph's end behavior.(b) Determine whether the graph has y-axis symmetry, origin symmetry, or neither.(c) Graph the function.f(x) = 4x - x^3
- Open QuestionIn Exercises 33–40, use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x)=x^3−4x^2+2; between 0 and 1
- Open QuestionGraph each polynomial function. Factor first if the polynomial is not in factored form. See Examples 3 and 4. ƒ(x)=2x^3-5x^2-x+6
- Open QuestionDetermine the largest open interval of the domain (a) over which the function is increasing and (b) over which it is decreasing. See Example 2. ƒ(x) = -2x^2 - 8x - 7
- Open QuestionGraph each polynomial function. Factor first if the polynomial is not in factored form. See Examples 3 and 4. ƒ(x)=x^4+3x^3-3x^2-11x-6
- Open QuestionIf the given term is the dominating term of a polynomial function, what can we conclude about each of the following features of the graph of the function? (a)domain (b)range (c)end behavior (d)number of zeros (e)number of turning points-9x6
- Open QuestionShow that the real zeros of each polynomial function satisfy the given conditions. See Example 6. ƒ(x)=x^4+x^3-x^2+3; no real zero less than -2