Thread: find values for m and n so function is continuous

f(x)= mx, x<3
n, x=3
-2x+9 x>3

First pick a value for x>3 i.e. x=4 then solve n such that -2(4)+9 = n

Once you know what n is then for x=3, solve mx=n, will give you m.

Originally Posted by sluggerbroth

f(x)= mx, x<3
n, x=3
-2x+9 x>3

You want to find so that .

Hello, sluggerbroth!

. .

Make a sketch.

When , we have a line through the origin with slope

When , we have a point

When , we have the line
. . It has y-intercept 9 and slope -2.

We want the three graphs to "meet" at

Code:

     \|
      *
      |\
      | \
      |  \
      |   \
      |    \
      |     \     *
      |      \  *
      |       o
      |     * :\
      |   *   : \
      | *     :  \
  - - * - - - + - * - -
    * |       3    \
      |

Can you work it out?