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3 years ago

What is the range of the function?

Mathematics

2 answers:

AleksAgata [21]3 years ago

8 0

The range of the function on the graph is all real numbers greater than or equal to 2 because the range of a function is what the value of y could be, and y begins at 2 and keeps increasing indefinitely.
Hope this helps!

Nikitich [7]3 years ago

6 0

Answer:

The range is all real numbers greater than or equal to 2

Step-by-step explanation:

We need to find the range of the given function using graph

Range is the set of all y values for which the function is defined

To find the range of the function using graph we look at the y values on the graph

The blue graph start at the point (1,2) (closed circle at 2) and goes on increasing

the y value of the starting point is 2

So the range of the function starts at 2 and goes on increasing

The range is all real numbers greater than or equal to 2

You might be interested in

What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

2 years ago

Geometry :))), please help me

amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

$\frac{x+23}{x+41} = 0.5$

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

$x+23=0.5(x+41)$

Now we multiply out the brackets and move the terms to different sides:

$x+23=0.5x+20.5$

$0.5x = -2.5$

$x = -5$

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0

3 years ago

Put the fractions in order smallest to largest<br> 7/10, 2/3 , 4/5, 11/15

Brrunno [24]

Answer:

Step-by-step explanation:

2/3, 7/10, 11/15, 4/5

8 0

3 years ago

Name the number that is three more than one-fifth of one-tenth of one-half of 5,000.

bearhunter [10]

Answer:

24 or 29 more numbers

Step-by-step explanation:

6 0

2 years ago

Laura bernett is 5 ft-4 inches tall. she stands 12 feet from a streetlight and casts a 9-foot-long shadow. how tall is the stree

xxMikexx [17]

The ratio of the height (h) of the streetlight to its distance to the end of Laura's shadow is the same as the ratio of Laura's height to her distance from the end of her shadow.
.. h/(12+9) = 5'4"/9
.. h = (21/9)*5'4" = 12 4/9 feet
.. h = 12 ft 5 1/3 inches

The streetlight is 12 ft 5 1/3 inches tall.

5 0

3 years ago