Mathematics, 15.11.2019 20:31 hurie98

Which graph represents the piecewise - defined function ?

y = -x -4 if x < -1
2x +1 if x ≥ -1

any counts , .

Which graph represents the piecewise - defined function ? y = -x -4 if x < -

Answers: 1

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Answer from: kev71

The graph is shown below.

Step-by-step explanation:

Given:

Piece wise function

$y=-x-4\textrm{ if }x$

Let us plot each of the two functions in the given interval.

For plotting y=-x-4 , we find its x and y intercept.

For x intercept, put y=0 . This gives, x = -4 . So, point is (-4,0)

For y intercept, put x = 0 . This gives, y=-4 . So, point is (0,-4)

Now, plot these two points and join a straight line. Now x < -1 . So we erase the part that is greater the point x = -1 . We make a hollow circle at x=-1 as x =-1 is not in the domain of first function.

Similarly, we plot the second line.

For x intercept, put y=0 . This gives, x = -0.5 . So, point is (-0.5,0)

For y intercept, put x = 0 . This gives, y=1 . So, point is (0,1).

We erase the line that is less than x =-1 . We make a solid circle at x =-1 as it is in the domain of the second function.

Therefore, the graph is as shown below.

Which graph represents the piecewise - defined function ? y = -x -4 if x < -1 2x +1 if x ≥ -1

Answer from: Quest

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m 60 second 60 minutes

* * = 54000 meters/ hour

second 1 minute 1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m 1 km

* = 54 km / hours

hour 1000m

Answer from: Quest

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

Bwill make the inequalities y < 2x + 1 and y> -x- 2 true. o a. region b o b. region c o c. r

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Which graph represents the piecewise - defined function ?

y = -x -4 if x < -1