Question

Find the value of the constant c that makes the following function continuous on (−∞,∞).
f(y)={cy+8cy2−8if y≤5if y>5
c=

Answer 1

\(\LaTeX\) time

Answer 2

wait what is function when y>5 ??

Answer 3

\[f(y) = \left\{\begin{array}{rcc}
cy+8 & \text{if} & y\leq 5 \\
cy^2-8& \text{if} & y>5
\end{array}
\right.
\]

Answer 4

oh didn't catch that ... anyway plug in y=5 and set both cases equal

Answer 5

i tryed but it saey incorrect

Answer 6

5c +8 = 25c -8

this is what you did?
what did you get for c?

Answer 7

thinks i got it

Answer 8

4/5

Answer 9

correct :)