Determine the roots of f(x)=-12-12x+18x2-2.75x3 graphically.

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: Approximate the value of the root of f(x)=-3x³+5x²+14x-16 near x=3 to within 0.05 of its actual…

A: Given : f(x)=-3x3+5x2+14x-16, to find the value of the root near x=3.

Q: Find the point at which the line f(x) = 3x – 9 intersects the line g(x) 3x + 9 -

A: The function f(x)=3x-9 and g(x)=-3x+9 intersects when f(x)=g(x).

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: 4. Use the Intermediate Value Theorem to show that the equation 2x3 + x – 2 = 0 has a root in the…

A: The given equation is 2x3+x-2=0 has a root in the interval -1,1

Q: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: The exercises in this section should be done using a graphing calculator or computer algebra…

A:

Q: how is this equation odd?  f(x)=1/x+15x^3

A:

Q: What is the result of completing the square for f (x) = x2 + 1?

A:

Q: Solve f(2) for f(x) = -4x + 3 %3D f(2) = [? ]

A: Put x= 2 in equation We get  - 4(2) + 3 -8 + 3 - 5

Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

A:

Q: Find the domain of the square root function and express in INTERVAL NOTATION f(x) = v-3x –- 8

A: The function is given by fx = -3x-8 To evaluate : The domain of the function

Q: Find x-intercept of: f(x) = -2x2 - 5x + 1

A:

Q: Find the point at which the line f(x)=5x+14 intersects the line g(x)=−2x (_,_)

A: Given that,  Line f(x) =5x+14 and line g(x) = -2x intersects. So, both the function gives the same…

Q: Determine the equation of the oblique asymptote of the equation f(x)=2x^2-9x+10/2x-1

A:

Q: Find the slope of f(x) = -3x2 – 6x at x = 1

A:

Q: Solve f(-4) for f(x) = -4x+ 9 %3D f(-4) = [ ? ] Enter

A:

Q: Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

A:

Q: Determine the difference quotient for the quadratic function. f(x)=2x^2+3x

A: our objective is to find difference quotient of f

Q: Identify the new quadratic functions f(x) = -4 (x-2)^2

A: Given:       f(x)=-4x-22               =-4x2-2x+4        fx=-4x2+8x-16     This in the form of…

Q: For f(x)=12x¹0 −44x² −8x³ + 2x² - 6x³ +72x² -24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A:

Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: 2, Determine the equation of the polynomial function y = f(x) shown II Express your answer in…

A:

Q: Find a root of an equation f(x) = 0.582x³ - 0.437x + 2 using

A:

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

A:

Q: Solve the quadratic for x: f (x) = x² – 7x – 18

A: The formula to find the solutions of the quadratic equation helps to find the required solutions.…

Q: Identify the intercepts of the quadratic function from the quadratic below. f (x) = 5 (x +2) (x +…

A: The x-intercepts of a quadratic function is obtained by equating the quadratic to zero.

Q: of f (x) = 1³ + 2z² + 3x + 6?

A:

Q: Find the zeros of f(x) = x3 + 2x²- 2x+24 %3D How do we know what number to use?!?

A:

Q: The function x- 2r-6x+22x – 15=0 has how many roots?

A:

Q: Solve for f(2) f(x)=-3x+3 f(2)=?

A:

Q: Does x =12 satsify the equation 16- 1/2x + 3/4x +1?

A: The given equation is 16 - 12x + 34x + 1.We need to check that x = 12 satisfies the…

Q: Find the equation of the angent line to f(x) = 5 – 3x at a = 4.

A:

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

A:

Q: Evaluate f (2) for the square root function f(x) = V5x + 6

A:

Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x…

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the…

Q: The path a diver takes from the diving platform is modeled by the equation f (x) = –,x² + 3x + 12…

A: find the maximum height

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: The function f (x) = (x + 6)³ – 2e** has two roots between x = -7 -

A: Solution of the problem as follows

Q: find the value of (a) if the equation: f(x)=x2 – 2ax+9 has one root: -

A: The given equation is fx=x2-2ax+9. It is given that the equation has only one root. It is known that…

Q: Find the smallest root of the equation f(x) = 2x – 6x + 11x – 7 = 0

A:

Q: Solve f(-6) for f(x) = 3x+ 15 %3D f(-6) = [ ? ]

A: Given: f(x)=3x+15

Q: If f (x) = x² – 2x, find: %3D f(-4) = [ ? ]

A: f(x)=x2-2x

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

A:

Q: Find expressions for the quadratic functions whose graphsare shown.

A: Given

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…