SOLUTION: Is the function f of x equals the quantity 2 times x plus 1 for x less than or equal to 4 and is equal to x squared plus 12 for x greater than 4 continuous? Yes No

Algebra.Com
Question 987751: Is the function f of x equals the quantity 2 times x plus 1 for x less than or equal to 4 and is equal to x squared plus 12 for x greater than 4 continuous?
Yes
No

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Less than or equal to 4, it is y=2x+1
greater than 4, it is y= x^2 +12
Look at 4.01 for example.
the second function will be greater than 16+12=28
Indeed, if the second function worked at 4, it would be 28.
It is not continuous.

RELATED QUESTIONS

Is the function f of x equals the quantity 2 times x plus 1 for x less than or equal to 4 (answered by Boreal)
To two decimal places, find the value of k that will make the function f(x) continuous... (answered by Boreal)
Find limit as x approaches 3 for f of x equals the quantity 3x plus 1 for x less than or... (answered by solver91311)
f is a continuous function with a domain [−3, 9] such that f of x equals 3 for x... (answered by Fombitz)
f is a continuous function with a domain [−3, 9] such that f of x equals 3 for x... (answered by Fombitz)
Find the indicated limit, if it exists. (7 points) limit of f of x as x approaches... (answered by MathLover1)
Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches... (answered by greenestamps)
What is the graph of the function f(x) = the quantity negative x squared plus x plus 20... (answered by Alan3354)
Which one of the following does not find the value of f ′(2) for f(x) = x2 + 3x +... (answered by KMST)