Answer:
1. f(x) is continuous at x = 1
2. f(x) is continuous at x = 1
Step-by-step explanation:
Determine whether the function is continuous or discontinuous at x=1.
Examine the three conditions in the definition of continuity.
1. f(x) = x²+8 if x<1
2. f(x) = 6x² - 3 if x> 1
For a function to be continuous at a given x-value
then lim x→a f(x) = f(a)
Meaning that
What this is saying is that, as x gets closer to a , f(x) should also get closer to f(a).
1. Limit of f(x) = x² + 8 at x = 1
= 1²+8 = 9
f(a) = f(1) = 1² + 8 = 9.
lim x→a f(x) = f(a) = 9
2. Limit of f(x) = 6x² - 3 at x = 1
= 6(1²) - 3 = 3
f(a) = f(1) = 6(1²) - 3 = 3
lim x→a f(x) = f(a) = 3
Answer:
P=(-4,-5)
Step-by-step explanation:
we are given
point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B
It means that point P divides line segment AB into 1:2 form
A=(-8,-13)
B=(4,11)
4=-8+12
11=-13+24
It means that x-value increases by 12 units
y-value increases by 24 units
P is 1/3 the length of the line segment from A to B
so, point P is (-4,-5)
Answer:
1 < x ≤ 4
Step-by-step explanation:
Given
8 ≥ x + 4 > 5 ( subtract 4 from each of the 3 intervals )
4 ≥ x > 1
Hence
1 < x ≤ 4
Answer: I think its the last one
Step-by-step explanation:
have good day and good luck
the answer to your question is b
