menu
bartleby
search
close search
Hit Return to see all results

Findhe values otA for whith hx) is conbinuous.-8x x 3Ax-27 1 X73

Question

Determined the values of A for which h(x) I saw continuous.

Find
he values ot
A for whith hx) is conbinuous.
-8x x 3
A
x-27 1 X73
help_outline

Image Transcriptionclose

Find he values ot A for whith hx) is conbinuous. -8x x 3 A x-27 1 X73

fullscreen
check_circleAnswer
Step 1

To determine the value of A for which the function given below is continuous,

6-8r fx 3
h(x)=
ifx 3
A
x2 27 ifx3
help_outline

Image Transcriptionclose

6-8r fx 3 h(x)= ifx 3 A x2 27 ifx3

fullscreen
Step 2

A function f(x) is continuous at the point a if and only if the left hand limit, the right hand limit and the value of the function at the point a exists and are equal.

lim f(x) f(a) linm f(x)
xa
help_outline

Image Transcriptionclose

lim f(x) f(a) linm f(x) xa

fullscreen
Step 3

Consider that for x < 3 the function is defined as h(x) = 6 – 8x.

...

lim h(x) lim (6-8x)
=6-8x3
=-18
help_outline

Image Transcriptionclose

lim h(x) lim (6-8x) =6-8x3 =-18

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Continuity

Sorry about that. What wasn’t helpful?