# How do you find the values of c and d that make the following function continuous for all x given #f(x) = 9x# if x<1, #f(x) = cx^2+d# if #1<=x<2# and #f(x) = 3x# if #x>=2#?

##### 1 Answer

#### Explanation:

Let us name the Intervals

On these Intervals

are continuous on these intervals.

So, if

has to be continuous at the joining points of these intervals; i.e., to

say, it must be continuous at

Now, for continuity at

On the similar lines, we have,

Considering the continuity of

Solving

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