Graph the polynomial functionf(x)=8x5+ 52x4+80x3 and determine the end behavior of the graph of the function.

Graph the polynomial functionf(x)=8x⁵+ 52x⁴+80x³ and determine the end behavior of the graph of the function.

Expert Solution

milcah answered 2 years ago

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the ...The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

Below is the graph of a polynomial function f with real coefficients.

Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of fare shown in the graph. (a) The function f is increasing over which intervals? Choose all that apply. (-∞ , -8) (-8, -5) (-8, -2) (-2, 3) (7, 9) (9, ∞) (b) The function f has local maxima at which x-values? If there is more than one value separate them with commas. (c) What...

For the following exercises, use the information about the graph of a polynomial .. The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.

For the following exercises, use the information about the graph of a polynomial ...The y-intercept is (0, −4). The x-intercepts are (−2, 0), (2, 0). Degree is 2. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.The y-intercept is (0, −4). The x-intercepts are (−2, 0), (2, 0). Degree is 2. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

f(x)= -x^3-5x^2-8x+48 find the intercepts for f(x), determine the end behavior for f(x), find the relative...

f(x)= -x^3-5x^2-8x+48 find the intercepts for f(x), determine the end behavior for f(x), find the relative extrema using the first test must show the sign chart for f(x), find the points of inflection for f(x), sketch the graph of f(x) and include all of those above

What is the leading coefficient of the polynomial function f(x) = 2x+x³+4?

Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3...

Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3 + 10x^2 + 16x − 11 over Q (b) f(x) = 7x^ 4 − 9x^ 2 + 6 over Q (c) f(x) = x^3 − x + 1 over Q (d) f(x) = x ^4 + 2x ^2 + 2 over Q (e) f(x) = x^ 4 + 2x^ 2 + 2 over C (f) f(x) = x ^4 + 2x^ 2 + 2...

For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a.

State the domain, vertical asymptote, and end behavior of the function f(x) = log5 (39 − 13x) + 7.

1. You are given the graph of a function f. Determine the intervals where f is...

1. You are given the graph of a function f. Determine the intervals where f is increasing, constant, or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less steep, changes direction at the point (−1, 0), goes up and right becoming more steep, passes through the approximate point (−0.58, 0.44), goes up and...

Question

Graph the polynomial functionf(x)=8x5+ 52x4+80x3 and determine the end behavior of the graph of the function.

Solutions

Expert Solution

Related Solutions

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the ...The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

Below is the graph of a polynomial function f with real coefficients.

For the following exercises, use the information about the graph of a polynomial .. The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.

For the following exercises, use the information about the graph of a polynomial ...The y-intercept is (0, −4). The x-intercepts are (−2, 0), (2, 0). Degree is 2. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

f(x)= -x^3-5x^2-8x+48 find the intercepts for f(x), determine the end behavior for f(x), find the relative...

What is the leading coefficient of the polynomial function f(x) = 2x+x³+4?

Determine whether the polynomial f(x) is irreducible over the indicated field. (a) f(x) = 4x^ 3...

For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a.

State the domain, vertical asymptote, and end behavior of the function f(x) = log5 (39 − 13x) + 7.

1. You are given the graph of a function f. Determine the intervals where f is...

Question

Graph the polynomial function​f(x)=8x5+ 52x4+80x3 and determine the end behavior of the graph of the function.

Solutions

Expert Solution

Related Solutions

Graph the polynomial functionf(x)=8x5+ 52x4+80x3 and determine the end behavior of the graph of the function.