Answer:
4
Step-by-step explanation:
The first is by Angle - Side - Side
The second is by Angle - Angle - Side
The third one is by Side - Angle - Side
The forth is by Side - Side - Side
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
We can simplify it by combining like terms
We get -7x -3x = -10x and -10x+8x = -2x
then we get -2x + 2 = -8
-2x = -10
x = 5
Answer:
the graph shows non linear function
