All categories

2 years ago

Find the domain and range of the graph

Mathematics

1 answer:

Rainbow [258]2 years ago

3 0

Answer:

Domain: $[-2,1)$

Range: $[0,4]$

Step-by-step explanation:

<u>Domain</u>

We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write $[-2,1)$ . Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.

<u>Range</u>

Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be $[0,4]$ .

You might be interested in

I need help please and thank you

ozzi

Answer:

-2480

Step-by-step explanation:

31 * -80 =-2480

Not sure how to explain this more, but I hope this helps!

3 0

3 years ago

Read 2 more answers

Is a vertical line a function

topjm [15]

Answer:

Step-by-step explanation:

Explanation 1)A vertical line can be represented by the equation x=a, where a can be any number. If you think about it, there is no y in the function, this making it not a function.

Explanation 2) For a line to be a function it has to pass the vertical line test, so you will draw a vertical line through the function and if it touches more than one point then it is not a function. In this case if you draw a vertical line through a vertical line there are an infinite number of places where the lines intercept, so it is not a function.

4 0

3 years ago

Read 2 more answers

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

7 0

3 years ago

If Sara bought 12 feet of fabric and she is going to make curtains and she has to cut 1/4 sections. How many sections of fabric

Strike441 [17]

Answer:

Step-by-step explanation:

You just have to divide the length of the fabric by the length of the sections

6 0

3 years ago

Read 2 more answers

Match each pair of monomials with their greatest common factor. Tiles 4p4q5 and 8p3q2 24pq6 and 16p3q5 8p3q6 and 4p2q5 16p3q2 an

pashok25 [27]

The GCF of the first two is 4p³q².The GCF of the second two is 8pq⁵.The GCF of the third two is 4p²q⁵.The GCF of the fourth two is 8p²q.The GCF of the fifth two is 4p²q.
To find the GCF of each pair, find the greatest number that will divide into each coefficient. As for the variable portions, choose the variable that has the smallest exponent from each pair.

8 0

3 years ago