Do you agree with this statement. Cubic functions must have at least one x intercept but not more than 3 whereas quadratic functions may or may not have x intercept provide evidence to support your position

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: he following table shows the stopping distance of a car on dry pavement A. Determine an approximate…

A: since there are multiple parts , first two parts are answered . Kindly repost for more help .

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A:

Q: The quadratic function that has the same shape as y=x^2 but is shifted to the right 3 units and up 2…

A:

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: 4. cubic equation must have at least 1 real solution so it must have cut the x-axis once since if…

Q: True or False: A canceling linear factor in the numerator and denominator, when set equal to zero,…

A: If there is a hole in a graph of a function than there must be common factor in numerator and…

Q: Determine whether the statement, "The maximum value of y for the quadratic function f(x) = -x2 + x +…

A:

Q: Determine the quadratic function f whose graph is given.     The vertex is (3,−4) and the other…

A: Given :- The vertex is (3,−4) and the other given point is (2,-1).

Q: I am trying to find the absolute maximum and minimum value of the function (x2/3)(x-5) But there…

A:

Q: Consider the Quadratic function f(x) = 2x² – 2x - 60. Its vertex is ). > Next Question

A: f(x)= 2x2-2x-60  Find the vertex of f(x)

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

A:

Q: Find the rule of the quadratic function f (x)= a(x-h)² +k whose grapn has a vertex at (-15, 18) and…

A:

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A:

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: SolutionA parabola has horizontal intercepts(roots) at x = 6.1 and x = 1.4and passes throught the…

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: Given query is to find the equation of the parabola whose roots are x=9 and x=-4. Parabola passes…

Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

A:

Q: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: A cubic function is one in the form f(x)=ax3+bx2+cx+d. The "basic" cubic function, f(x)=x3 , is…

Q: 12.What are the zeros of the function represented by the quadratic equation 9 (x) = (x+ 3) +3?,

A: Solution: The objective is to find the zeros of the given quadratic equation

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: Is it possible for the graphs of two different quadratic functions to each have x = -3 as its line…

A: Given

Q: Consider the Quadratic function f(x) x2 6x 16. - - Its vertex is ( Its smallest x-intercept is x =…

A:

Q: Show that the equation f(x) = 2x3 + 3x + 6 = 0 has at least one solution; find an interval of length…

A: Theorem : Let  f be continuous  function  on [a,b]. Let x=f(a) and y=f(b). Then we have for every z…

Q: Find expresSsions for the quadratic functions whose graph are shown. YA y A (-2, 2), (0, 1) (4, 2)

A: The graph of the first function has a open parabola open upward with (3, 0) as vertex and (4, 2) is…

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Consider the provided question, Yes, cubic function have at least one real root (x-intercept) but…

Q: Find the equation of the quadratic function f whose graph is shown below. (2, 7) (3, 4) )- 0 ID

A: This question can be solved using the general equation of parabola.

Q: What is the equation of a quadratic function y = f(x) with two irrational zeros,-h and h where h is…

A: Given,         The equation of a quadratic function y=fx with two irrational zeros, -h          and…

Q: Find the equation of the quadratic function f whose graph is shown below. 6+ (1, 5) f(4) = 0 -8 -4…

A: Solve the following

Q: A quadratic function will not always have zeros.

A: This given statement is true.

Q: 1.Discuss two practical applications in which “piecewise functions” are used either explicitly or…

A: We will answer the first three questions. Please resubmit the other question as a separate one.

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: Write the equation for a quadratic function f(x) with roots at r = – 3 and r = – 8 that also passes…

A:

Q: What is the minimum of f (x) = (x + 3)2 − 4?

A:

Q: if the function f(x)= x^3+ax^2+bx has the local minimum value -2/9 cube root 9 at x= 1/cube root ,…

A: Given fx=x3+ax2+bx has local minimum value -239 at x=13 to find  value of a and b explanation as…

Q: Please solve these question in general form a.) The quadratic function has  zeroes 2 and 4

A: If a quadratic function f has zeroes a and b then its quadratic form is  f(x) = (x-a)(x-b)…

Q: 5. Sketch a possible graph of a quadratic function which has two real roots (one positive, one…

A:

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: It is given that at x = 1, the function x" - 62x? + ax + 9 attains its maximum value in the interval…

A:

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A: Answer

Q: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

A: The domain of a function f(x) are the set of x values for which the function f(x) is defined whereas…

Q: The minimum v value of this quadratic function is 0 v At the point ( ), the x-axis intercepts with…

A: We use the data from the graph to complete the sentences. The minimum value of this quadratic…

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 of…

A:

Q: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

A:

Q: If a and b are positive numbers, find the maximum value of f(x) = x"(1 – æ)*, 0 < x < 1 Your answer…

A:

Q: Given the following quadratic function in standard form, f(x) = 2(x+ 1)² – 4 State the coordinates…

A:

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

A:

Q: Do you agree with the statement that  cubic functions must have aleast one  x intercept but no more…

A: According to the given information, it is required to explain the given statements. First it is…

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: