Given the function g(r)=2r^4−8r^3−10r^2: its g-intercept is  its r-intercepts are

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Reflect  f(x)=2x^2+3x-1 over the X axis and write the new equation for g

A: Reflect  f(x)=2x2+3x-1 over the X axis and write the new equation for g

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: Given the function f(x)

A: Given,          f(x)=3x2-5x+3

Q: Graph the function f(x)=-(x+1)^(4)+1. Determine any roots of the polynomial.

A:

Q: How many x-intercepts does the graph of y = -(x + 1)² -2 have? O 2 3 0 1

A:

Q: Move the three points so that they form the function f(x) = (x – 5)*(x + 4)²(x– 1). Press the button…

A:

Q: If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

A:

Q: Given H(a)=a4-3a^2-a+1, the domain is

A: The domain of a function is the set of all values of the variable for which the function is define.…

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: state the number of roots for the function f(x)= x^7+65x^4+64x

A: Given: The function is f(x)=x7+65x4+64x. Concept used: The highest power of the polynomial is the…