Question

Find the values of c and d that make the following function continuous for all x:

{5x if x<1
f(x)= {cx^2+d if 1or=2

Answer 1

replace x by 1 in the first and second expressions, and set them equal
then replace x by 2 in the second and third, and set them equal as well.
then you will be able to solve for c and d

Answer 2

so first equation for example would say
\[5=c+d\]
good from there?

Answer 3

you'll get two eqns,\c+d=5 and 4c+d=6.solve it for c and d