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The polynomial function fis defined by f(x) = -3x +7xº+3x-9x-1. Use the ALEKS graphing calculator to...
Use the ALEKS graphing calculator to find the x-intercept(s) and vertex for the quadratic function. f(x)...
Use the ALEKS graphing calculator to find the x-intercept(s) and vertex for the quadratic function. f(x) = -4x²–2x+3 Round to the nearest hundredth if necessary. If there is more than one x-intercept, separate them with commas. If applicable, click on "None". 00.... None X-intercept(s): vertex: 1 00 X ?
(a) =-3x- 9x - 1. (c) Find the interval(s) where the function f(x) = 5x1/3 -...
(a) =-3x- 9x - 1. (c) Find the interval(s) where the function f(x) = 5x1/3 - 25/3 is concave up/down. Is there any inflection point(s)? If yes, state its (their) coordinates.
the function is g(x) = 1/3 x^3 - 3x^2-9x+20 a) Find, if any, all local extrema...
the
function is g(x) = 1/3 x^3 - 3x^2-9x+20
a) Find, if any, all local extrema (local max, local min) and the inflection point for g(x). 15 points b) What basic cubic equation does g(x) strongly resemble? In other words, the above g(x) is what other cubic function f(x) shifted and scaled by 1/3 : 10 points
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the m...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x...
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u)...
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
Consider the function f(x) = 9x + 7x1. For this function there are four important intervals:...
Consider the function f(x) = 9x + 7x1. For this function there are four important intervals: (-00, A], (A,B),(B,C), and [C,) where A, and are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (-00, A): Select an answer (A, B): Select an answer (B, C): Select an answer (C,00) Select an answer Note that this function has...
Unproctored Placement Assessment Due Sunday 2 The function f is defined below. + ² + 3x...
Unproctored Placement Assessment Due Sunday 2 The function f is defined below. + ² + 3x -40 12-81 Find all values of x that are NOT in the domain off. If there is more than one value, separate them with commas. 0 х ? Don't Know Submit
7. Show that the equation f(x) = x^3 + 3x^2 - 9x + 7 = 0...
7. Show that the equation f(x) = x^3 + 3x^2 - 9x + 7 = 0 has a solution for some x is E(-6; -5). Apply Newton’s method with an initial guess x0 = -5 to find x2. 8. Find the intervals of increase and decrease of the function x2e^-2x. 9. Sketch the graph of the curve y = x3 + 3x2 - 9x + 7. Be sure to find the intervals of increase, decrease and constant concavity and all...
This te (a) Use a graphing utility to graph f(x)=x® - 2x+4 on the interval [-2.2]...
This te (a) Use a graphing utility to graph f(x)=x® - 2x+4 on the interval [-2.2] and approximate any local maxima and local minima. (b) Determine where fis increasing and where it is decreasing. (a) Using a graphing utility, graph the function for -25x52 and - 4sys 10. Choose the correct graph, below. Ο Α. ов. Ос. O os The local maximum is y, and it occurs atx| (Round to two decimal places.) The local minimum is y and it...
Use the ALEKS graphing calculator to find the x-intercept(s) and vertex for the quadratic function. f(x) = -4x²–2x+3 Round to the nearest hundredth if necessary. If there is more than one x-intercept, separate them with commas. If applicable, click on "None". 00.... None X-intercept(s): vertex: 1 00 X ?
(a) =-3x- 9x - 1. (c) Find the interval(s) where the function f(x) = 5x1/3 - 25/3 is concave up/down. Is there any inflection point(s)? If yes, state its (their) coordinates.
the
function is g(x) = 1/3 x^3 - 3x^2-9x+20
a) Find, if any, all local extrema (local max, local min) and the inflection point for g(x). 15 points b) What basic cubic equation does g(x) strongly resemble? In other words, the above g(x) is what other cubic function f(x) shifted and scaled by 1/3 : 10 points
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
Consider the function f(x) = 9x + 7x1. For this function there are four important intervals: (-00, A], (A,B),(B,C), and [C,) where A, and are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (-00, A): Select an answer (A, B): Select an answer (B, C): Select an answer (C,00) Select an answer Note that this function has...
Unproctored Placement Assessment Due Sunday 2 The function f is defined below. + ² + 3x -40 12-81 Find all values of x that are NOT in the domain off. If there is more than one value, separate them with commas. 0 х ? Don't Know Submit
This te (a) Use a graphing utility to graph f(x)=x® - 2x+4 on the interval [-2.2] and approximate any local maxima and local minima. (b) Determine where fis increasing and where it is decreasing. (a) Using a graphing utility, graph the function for -25x52 and - 4sys 10. Choose the correct graph, below. Ο Α. ов. Ос. O os The local maximum is y, and it occurs atx| (Round to two decimal places.) The local minimum is y and it...
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