Problem 1) Correct. Start at x = 2 and move slightly to the left of it. As you approach x = 2 along the curve, the y value fluctuates wildly not approaching a fixed value. This is why the lefthand limit (LHL) does not exist (DNE)
Problem 2) Correct. The right hand limit (RHL) does exist and the limiting value is 2. If you approach x = 2 from the right, you slowly get closer to y = 2
Problem 3) Incorrect. Because the LHL does not exist, this means that overall the limit at x = 2 DNE as well. You need to be able to approach it from both sides getting to the same value for the overall limit to exist.
Problem 4) Incorrect. If you approach x = 0 from either side, then you get to y = 0. So the limit does exist and the limiting value is 0. The answer for this box is 0.
Problem 5) Incorrect. The answer is DNE or undefined. The limit at x = 0 exists but the actual value does not. This is shown by the hole at x = 0.
<u>The domain</u> of the <u>function</u> are all possible values for <u>variable</u> x and <u>the range</u> of the function are all possible values for the variable y.
Consider the parrent function
The domain of this function is
the range of this function is 
1. Translate this function 5 units to the right. After this translation the function becomes

2. Reflect previous function about the x-axis, then the expresssion of the new function is

The range of the function will be 
3. Translate the function
3 units up, then you will get the function

The domain of this function is
the range of this function is 
Answer: 
Answer:
190 square inches
Step-by-step explanation:
Surface area of a rectangular prism formula is given as
2(LW + LH + WH)
Where
L = Length = 5in
H = Height = 3in
W = Width = 10in
Hence:
Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches
= 2 × (50 + 15 + 30) square inches
= 2 × (95) square inches
= 190 square inches
Therefore, the surface area of Erin's jewelry box is 190 square inches
Answer:
What are the options
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
a right angle is 90 degress since the other side is 57 than ac must be 33