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) → ∞.

Expert Solution

Consider a polynomial function of degree 3 and having following x-intercepts and y-intercepts respectively,

(0, 1) → y-intercept

There are no x-intercepts

End behavior of the polynomial function is,

x → ∞, f(x) → ∞

x → -∞, f(x) → ∞

The end behavior shows that the graph is upwards. This means take the leading coefficient 1.

Consider the following general form of a polynomial function of degree 4.

f(x) = x4 + 1

Hence, the polynomial function is f(x) = x4 + 1.

Junaid answered 1 year ago

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) → ∞.

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 given information about the polynomial .. Degree 3. Zeros at x = 4, x = 3, and x = 2. y-intercept at (0, −24).

For the following exercises, use the given information about the polynomial graph to write the equation.Degree 3. Zeros at x = 4, x = 3, and x = 2. y-intercept at (0, −24).

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

Degree 5. Roots of multiplicity 2 at x = −3 and x = 2 and a root of multiplicity 1 at x=−2. y-intercept at (0, 4). For the above exercises, use the given information about the polynomial graph to write the equation.

Degree 5. Roots of multiplicity 2 at x = −3 and x = 2 and a root of multiplicity 1 at x=−2. y-intercept at (0, 4). For the above exercises, use the given information about the polynomial graph to write the equation.

The y-intercept is (0, 0). The x-intercepts are (0, 0), (2, 0). Degree is 3. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → ∞.

For the following exercises, use the given information about the polynomial..Degree 4. Roots of multiplicity 2 at x = 1/2 and roots of multiplicity 1 at x = 6 and x = −2. y-intercept at (0,18).

For the following exercises, use the given information about the polynomial graph to write the equation.Degree 4. Roots of multiplicity 2 at x = 1/2 and roots of multiplicity 1 at x = 6 and x = −2. y-intercept at (0,18).

Graph the function f(x) = 4 (1/8)x and its reflection about the y-axis on the same axes, and give the y-intercept.

Degree 5. Roots of multiplicity 2 at x = 3 and x = 1, and a root of multiplicity 1 at x = −3. y-intercept at (0, 9). For the following exercises, use the given information...

For the following exercises, use the given information about the polynomial graph to write the equation.Degree 5. Roots of multiplicity 2 at x = 3 and x = 1, and a root of multiplicity 1 at x = −3. y-intercept at (0, 9)

For the following exercises, describe the end behavior of the graphs of the functions. f(x) = −5(4)x − 1

For the following exercises, describe the end behavior of the graphs of the functions.f(x) = −5(4)x − 1

Question

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) → ∞.

Solutions

Expert Solution

Related Solutions

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 .. 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 given information about the polynomial .. Degree 3. Zeros at x = 4, x = 3, and x = 2. y-intercept at (0, −24).

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

Degree 5. Roots of multiplicity 2 at x = −3 and x = 2 and a root of multiplicity 1 at x=−2. y-intercept at (0, 4). For the above exercises, use the given information about the polynomial graph to write the equation.

The y-intercept is (0, 0). The x-intercepts are (0, 0), (2, 0). Degree is 3. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → ∞.

For the following exercises, use the given information about the polynomial..Degree 4. Roots of multiplicity 2 at x = 1/2 and roots of multiplicity 1 at x = 6 and x = −2. y-intercept at (0,18).

Graph the function f(x) = 4 (1/8)x and its reflection about the y-axis on the same axes, and give the y-intercept.

Degree 5. Roots of multiplicity 2 at x = 3 and x = 1, and a root of multiplicity 1 at x = −3. y-intercept at (0, 9). For the following exercises, use the given information...

For the following exercises, describe the end behavior of the graphs of the functions. f(x) = −5(4)x − 1