3- Given the function f(x) = -x²+x compute the difference quotient x+h)-f(x) h 4- Given the equation 4x2 + 8x + 4 = 0 a) find the discriminant b2 – 4ac b) How many distinct real solutions are possible

Q: dr (1² + 1)²

A:

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: Find the quotient of (x/2 - 2/x) and (1 - x2/4). What are the restrictions on the variable?

A: We have to find the quotient of the given two expression.

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: what are the possible zeros of f(x)=−6x 5 7x 3 + 12?

A:

Q: x - 24x + 144x 3 x° -12x x3 -24x +144x x³ -12x

A:

Q: Determine the following for the function f(x)=4x3+4x2-x-1 a) the end behavior of the function  b)…

A: Interpretation:a.The given polynomial function is f(x) = 4x3+4x2-x-1.Since the leading coefficient…

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: d.

A:

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain…

A:

Q: Let r(x) = 8x - 5 7x +9 x) = (-5x-5)/(7x-8) Find and simplify

A: Given query is to find inverse t.

Q: Divide -5x- 3a - 2x + 2 by a- 1 R(x) Give your answer in the form Q(x) + D(x)

A:

Q: hat are all the real zeros of y=(x-12)3-7?

A: We have to find the real zeros of y=(x-12)3-7.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.