All categories

2 years ago

Locate the points of discontinuity in the piecewise function shown below.

Mathematics

1 answer:

algol132 years ago

8 0

Answer:

Step-by-step explanation:

The given piecewise function i

From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.

For x=-1,

LHL:

Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.

For x=2,

LHL:

Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.

Therefore, the correct option is A.

You might be interested in

A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after t

diamong [38]

9514 1404 393

Answer:

{2.96, 12.66}

Step-by-step explanation:

A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.

You can solve the equation h = 600 to find the times.

-16t^2 +250t = 600

-16(t^2 -15.625t) = 600

-16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)

-16(t -7.8125)² = -376.5625

t -7.8125 = √(376.5625/16) ≈ ±4.8513

t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}

The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.

4 0

2 years ago

Look at the information below. The sum of the measures of angle M and angle R is 90°. © The measure of angle M is (5x + 10). The

kupik [55]

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

8 0

1 year ago

the equation 7x-10y=30 is written in standard form. What is the first step when writing an equivalent equation which solves for

Nana76 [90]

You solve for y so then u subtract the 7x from 30 to get 30-7x equals -10 since the -10 has a variable it means u divide by -10 to the subtracting equation to get-3+7/10

4 0

3 years ago

Read 2 more answers

Determine the quadrant ( I, II, III, and IV ) or axis (x and y ) where each of the following point is located.

Ipatiy [6.2K]

Answer:

1. ( 0,-6 ) is y-axis

2. ( 15,4 ) is l quadrant

3. ( 100, -5 ) is lV quadrant

4. ( 0.004, .05 ) is l quadrant

5. ( -4,0 ) is x-axis

8. ( -7.5, -6.3 ) is lll quadrant

9. ( 0.1000) is y-axis.

7 0

1 year ago

PLEASE HELP ME WIT DIS

Lunna [17]

To make things easier, this solid can be divided in 3 parts:

- the first one is 2in long, 5in wide and 8in tall

- the second one is 2in long, 8in wide and 3in tall

- the third one is just like the first one, so 2in long, 5in wide and 8in tall

In order to find the volume of the solids, we need to multiply their dimensions:

1st: 2.5.8 = 80 $in^{3}$

2nd: 2.8.3 = 48 $in^{3}\\$

3rd: 2.5.8 = 80 $in^{3}$

The volume of the big solid is equal to (80 + 48 + 80) $in^{3}$

V = 208 $in^{3}$

6 0

2 years ago

Read 2 more answers