Find three intervals on which f is one-to-one, making each interval as large as

Question

Find three intervals on which f is one-to-one, making each interval as large as possible. Find the inverse of each function (on the given interval, if specified) and write it in the form y = f^-1 (x). Verify the relationships f(f^-1(x)) = x and f^-1(f(x)) = x. f(x) = 3x^3 Given the function f, find the slope of the line tangent to the graph of f^-1 at the specified point on the graph of f^-1. f(x) = -x^2 + 8; (7, 1) Find derivatives for the following functions. 2/x ln 2x 6e^3x 6x^2e^x^2 cos(ln x) Evaluate the integrals. Integral^0_1 e^2r dt integral 1/5x dx

Explanation / Answer

(1) f(x) is increasing on (-inf, -1) , then decreasing on (-1, 2) and then increasing on (2, inf)

So ...

the three intervals on which f can be one -one are

(-inf, -1);

(-1,2) and

(2, inf)

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.