Multiple ChoiceBased on the known points plotted on the graph, determine what intervals the graph should be broken into. Plotted points are: (−3,0),\left(-3,0\right),(−3,0),(0,1),(2,0),\left(0,1\right),\left(2,0\right),(0,1),(2,0), & (5,0)\left(5,0\right)(5,0)140viewsHas a video solution.
Multiple ChoiceGraph the polynomial function. Determine the domain and range. f(x)=(3x+2)(x−1)2f\left(x\right)=\left(3x+2\right)\left(x-1\right)^2f(x)=(3x+2)(x−1)2163views1commentsHas a video solution.
Textbook 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^4144viewsHas a video solution.
Textbook QuestionIn Exercises 11–14, identify which graphs are not those of polynomial functions. 162viewsHas a video solution.
Textbook 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^3243viewsHas a video solution.
Textbook 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 1202viewsHas a video solution.
Textbook 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+6165viewsHas a video solution.
Textbook 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 - 7389viewsHas a video solution.
Textbook 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-6167viewsHas a video solution.
Textbook 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 -9x6152viewsHas a video solution.
Textbook QuestionFor each polynomial function, identify its graph from choices A–F. ƒ(x)=-(x-2)(x-5)173viewsHas a video solution.
Textbook 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 -2195viewsHas a video solution.