graph the solutions of the inequality on a number line. describe the solution to the inequality.p>4

Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

2 years ago

Sandra calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?

gregori [183]

Triangle D
Because the Pythagorean Theorem is only used with a RIGHT triangle

3 0

2 years ago

Fruit Slice Flavor Small Bag Medium Bag Large Bag Orange 20 40 60 Grape 10 20 30 Cherry 5 10 15 Total Slices 35 70 105 Best Ever

Maksim231197 [3]

It depends on how much its the total

7 0

3 years ago

Read 2 more answers

What is the domain of the square root function graphed below?

lesya [120]

Answer:

$x \geqslant 0$

Option D is the right option.

Explanation:

Observe from the graph that the value of X starts at X=0 and the graph is going to the right infinitely.

So the domain of the function should be:

$x \geqslant 0$

Hope this helps...

Good luck on your assignment..

4 0

3 years ago

The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6

ratelena [41]

Answer:

y = 12x + 8

Step-by-step explanation:

You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6

3 0

2 years ago

Read 2 more answers