Questions: Activity 8: Sign on and Sketch Me For each of the following functions, give (a) the x-intercept(s) (b) the intervals obtained when the x-intercepts are used to partition the number line (c) the table of signs (d) a sketch of the graph 1. y=(2x+3)(x-1)(x-4) 2. y=-x^3+2x^2+11x-2 3. y=x^4-26x^2+25 4. y=-x^4-5x^3+3x^2+13x-10 5. y=x^2(x+3)(x+1)^4(x-1)^3 For each of these polynomial functions, answer the following: a. What happens to the graph as x decreases without bound? b. For which interval(s) is the graph (i) above and (ii) below the x-axis? c. What happens to the graph as x increases without bound? d. What is the leading term of the polynomial function? e. What are the leading coefficient and the degree of the function?

Activity 8: Sign on and Sketch Me For each of the following functions, give (a) the x-intercept(s) (b) the intervals obtained when the x-intercepts are used to partition the number line (c) the table of signs (d) a sketch of the graph 1. y=(2x+3)(x-1)(x-4) 2. y=-x^3+2x^2+11x-2 3. y=x^4-26x^2+25 4. y=-x^4-5x^3+3x^2+13x-10 5. y=x^2(x+3)(x+1)^4(x-1)^3 For each of these polynomial functions, answer the following: a. What happens to the graph as x decreases without bound? b. For which interval(s) is the graph (i) above and (ii) below the x-axis? c. What happens to the graph as x increases without bound? d. What is the leading term of the polynomial function? e. What are the leading coefficient and the degree of the function?
Transcript text: Activity 8: Sign on and Sketch Me For each of the following functions, give (a) the $x$-intercept(s) (b) the intervals obtained when the $x$-intercepts are used to partition the number line (c) the table of signs (d) a sketch of the graph 1. $y=(2 x+3)(x-1)(x-4)$ 2. $y=-x^{3}+2 x^{2}+11 x-2$ 3. $y=x^{4}-26 x^{2}+25$ 4. $y=-x^{4}-5 x^{3}+3 x^{2}+13 x-10$ 5. $y=x^{2}(x+3)(x+1)^{4}(x-1)^{3}$ For each of these polynomial functions, answer the following: a. What happens to the graph as $x$ decreases without bound? b. For which interval(s) is the graph (i) above and (ii) below the $x$-axis? c. What happens to the graph as $x$ increases without bound? d. What is the leading term of the polynomial function? e. What are the leading coefficient and the degree of the function?
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{"axisType": 3, "coordSystem": {"xmin": -5, "xmax": 5, "ymin": -20, "ymax": 60}, "commands": ["y = (2x + 3)(x - 1)(x - 4)"], "latex_expressions": ["$y = (2x + 3)(x - 1)(x - 4)$"]}

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