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dolphi86 [110]
3 years ago
9

Describe the y-intercept and end behavior of the following graph:

Mathematics
1 answer:
andre [41]3 years ago
4 0

Answer:

Based on graph description ...

  • end behavior: (-∞, +∞), (+∞, -∞)
  • y-intercept: (0, -4)

Based on what appear to be answer choices ...

  • end behavior: (-∞, ∞), (+∞, -6)
  • y-intercept: (0, -5)

Step-by-step explanation:

<u>End behavior</u>

"Starts at top left" means the function approaches +∞ as x approaches -∞.

"Continues decreasing to the bottom right" seems to mean the function approaches -∞ as x approaches +∞.

(While an exponential decay function "continues decreasing", it approaches a limit. Your description of the graph says nothing about that, so we assume it is an odd-degree polynomial function with a negative leading coefficient.)

__

<u>Y-intercept</u>

"Crosses the y axis at negative 4" means the y-intercept is (0, -4).

_____

<em>Comment on problem statement discrepancies</em>

Perhaps you intended to describe the graph as "approaching -6 at the bottom right." That would match a description, "The graph approaches y = −6 to the right." However, your offered choice of (0, -5) for the y-intercept does not match the verbal description of "crosses the y axis at negative 4."

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Answer:

Zero

Step-by-step explanation:

Slope is:

\frac{Change of y}{Change of x}

Since there is no change of the y value, there is no slope.

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2000 tickets were sold in exhibit on Saturday the cost of a ticket for an adult is four dollars and for a child is two dollars a
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Answer:

look at picture

Step-by-step explanation:

x: adult tickets

t: children tickets

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3 years ago
The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard
antiseptic1488 [7]

Answer:

0.0618.

Step-by-step explanation:

14-18= -4

-4/2.6= -1.538

Use the Z-table to find the proportion that aligns with 1.54 (round up because of the 0.008)

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2 years ago
(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

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