Answer:
Horizontal asymptote of the graph of the function f(x) = (8x^3+2)/(2x^3+x) is at y=4
Step-by-step explanation:
I attached the graph of the function.
Graphically, it can be seen that the horizontal asymptote of the graph of the function is at y=4. There is also a <em>vertical </em>asymptote at x=0
When denominator's degree (3) is the same as the nominator's degree (3) then the horizontal asymptote is at (numerator's leading coefficient (8) divided by denominator's lading coefficient (2))
The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A Crayon is shown here.
There are 24 crayons in a box.
The approximate total volume of the crayons will be
Total Volume of crayons = 24 × volume of the single crayon
The crayon is the combination of the cone and the cylinder
Then the volume of the single crayon (V₁) will be
Then the Total volume will be
Total volume = 24 × 89.5
Total volume = 2148 cm³
More about the geometry link is given below.
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Answer:
The graph of g(x) is wider.
Step-by-step explanation:
Parent function:
New function:
<u>Transformations</u>:
For a > 0
If the parent function is <u>shifted ¹/₄ unit up</u>:
If the parent function is <u>shifted ¹/₄ unit down</u>:
If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:
If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:
Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.
