Friday

March 27, 2015

March 27, 2015

Posted by **Joan** on Wednesday, April 20, 2011 at 7:59pm.

x = 0| 1 | 2

____________

f(x) = 1| k | 2

The equation f(x) = 1/2 must have at least two solutions in the interval [0,2] if K = ?

The answer is 0, but there is also a choice option of 1/2. I don't understand how to get the answer.

Thanks!

- calculus -
**MathMate**, Thursday, April 21, 2011 at 3:46pmFor f(x)=1/2 to have two solutions on the interval [0,2], a horizontal line through y=1/2 must intersect f(x) two times or more on the interval.

This will happen if k<=1/2. In the limit where k=1/2, the horizontal line will be tangent to f(x), and is considered to have two solutions.

**Answer this Question**

**Related Questions**

calculus - The function f is continuous on the closed interval [0,6] and has ...

Calculus IVT - The function f is continuous on the closed interval [0,6] and ...

Calculus - The function f is continuous on the closed interval [1,7] and has ...

Calculus - The function f(x)=(x^4)-(10x^3)+(18x^2)-8 is continuous on the closed...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...

Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...

math - let fbe a function that is even and continuous on the closed interval [0,...