Question

To two decimal places, find the value of k that will make the function f(x) continuous everywhere.

Answer 1

a. 11.00
b. -2.47
c. -0.47
d. None of these
d right?

Answer 2

no, not choice d

Answer 3

what y?

Answer 4

-0.47?

Answer 5

continuous means no "jumps"
the two lines y= 3x+k
and y = kx^2-5
must "match up" at x= -4 i.e. have the same y value
in other words we need
3x+ k = k x^2 - 5 when x= -4
that means

-12 + k = 16k - 5
-7 = 15 k
-7/15 = k

Answer 6

thank you