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dolphi86 [110]
2 years ago
9

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

Mathematics
1 answer:
andre [41]2 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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-3x + 1 + 10x = x + 4

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1) Jo Anne needs to do a speech in her English class that can't be more than 4 minutes
djyliett [7]

Answer:

( 0 < y < 23 / 6 ) mins

Step-by-step explanation:

Solution:-

We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.

The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:

                              ( 0 < x < 4 ) minutes

Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:

                             10 s * \frac{min}{60 s}  = \frac{1}{6} min

The time taken by Jo Anne to complete her speech in English class can be represented as:

                             y = x - 1/6

Using the range of time that Jo Anne could take in delivering her speech in the class would be:

                                    0 < x < 4

                            0 - 1/6 < y < 4 - 1/6

                            -1/6 < y < 23 / 6

Since time can not be less than zero. We correct the lower limit to " 0 " as follows:

                              ( 0 < y < 23 / 6 ) mins

   

7 0
3 years ago
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Answer:

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6+4-6

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