Determine whether the function is continuous or discontinuous at xr=1. examine the
three conditions in the definition of continuity.
fx2+8 if x< 1
f(x)
= 6x2 — 3 if x> 1



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: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)