a) Show that f(x) = |x|Vx8 + 1 is an even function. b) Find the end behavior of f(x) = -(x – 2)*(x + 1)³. c) Find the MAXIMUM number of turning points of a polynomial with a leading coefficient of 1 and zeros of x = 10 with multiplicity of 4 and x = -1 of multiplicity 2 and no complex zeros.

Q: If f(a) = 4x3 - 11x + 14x - 6, then show the values f(0) and f(1) have different algebraic…

A: A real valued function is said to be continuous as whose graph does not have any breaks or holes.…

Q: f(x)=x³+ 3x²- 36x– 108 ar

A:

Q: Write two distinct polynomials, one in factored form ( f(x) = (x ± a)" (x ± b)".. ) and one in…

A:

Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: Consider f(x) = 0.01x -0.18x³ - 1.08x21.26x8.05. 1 3. (a) Sketch a quick graph of f(x) on the…

A: In this problem, we are given a polynomial function f(x) = 0.01x4 - 0.18x3 - 1.08x2 - 1.26x - 8.05…

Q: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

A: Hence the required answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Show that f(x) = x4 + 4.x + c has at most two real roots for any umber c.

A: Consider the given equation. fx=x4+4x+c Case 1: When c>0. No sign change, by Descartes rule of…

Q: Find a root of f(x)= In (x²+3)-x2+3 with 103 accuracy.

A: Given,  f(x)=ln(x2+3)-x2+3  By bisection method , we have  f(2)=0.3862944 which is  >0,…

Q: 1. Sketch the polynomial /(x) = (2-x)²(x+1)(x-4)³

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Use Descartes’s Rule of Signs to determine the possiblenumber of positive and negative real zeros…

A: Given function is f(x)=3x^5-2x^4-2x^2+x-1Firstly,we count the number of changes in signs for the…

Q: #2 Write and expand a third-degree polynomial f(x) with zeros -1,3√2,-3√2. SHOW ALL WORK!

A: Step 1: Formula for the third-degree polynomial,f(x)=(x−a)(x−b)(x−c)Step 2: Given,…

Q: P(x) = -(x – 3)²(x + 1)²

A:

Q: Write a polynomial f(x) of degree 3 that has the zeros 1/3, √3, and -√3

A:

Q: Which polynomial function in standard form has a root of multiplicity 1 at x= 3, and a root of…

A: A polynomial function has a root of multiplicity 1 at x=3, and a root of multiplicity 2 at x=4

Q: (4) Let f(x) = xª + 2x³ + 6x² + x – 1. Find, with proof, the number of zeroes of f.

A:

Q: 13) m22 = 35x – I and m21 = 34x. Find x. G

A:

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: Identify the following for the polynomial function: i) iv) g(x)=x (3x+4) (-2x+1)(x-5) the degree the…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: