The graph of a function f (x) =x²(x² – 24) is given. A 150 100 50 + -8 + -6 + 10 -10 -2 50 -100 -150 4. 2.

Q: Based on the equation of each function, describe how the graph of each function compares to the…

A:

Q: Evaluate each function at the given value of the variable. a. f(x) = x²- x + 4 f(-1) f(0) = X- b.…

A: a) The given equation is fx=x2-x+4. Find f-1 as shown below. f(x)=x2-x+4f-1=-12--1+4          =1+1+4…

Q: Mathematically show that f(x) = 3x³ – x is an odd function.

A: A function f(x) is said to be an odd function when; f(-x)=-f(x) where the sign is reversed but the…

Q: Complete the sentence below. Iff is a one-to-one function and f(3) = 6, then f(6) = If f is a…

A: One one functions

Q: Use the graph of f shown in the figure below. y 1아 5- -10 -5 10 5 -10아 Find f-1(-3).

A:

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.