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VLD [36.1K]
3 years ago
15

How do i know if a relation is a function on a graph ?I don’t quite understand the explanation on the pic.

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph<u> </u><u>is a function</u>. If the vertical line touches the graph at more than one point, then the graph <u>is not a function.</u> Hope this gives you a better understanding!! :)

Step-by-step explanation:

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If f(x) = 4x3 - 2x and g(x) = x3 + 6x2 + 3x - 7, then find f(x)<br> + g(x)
leva [86]

Answer:

5x^3+6x^2+x-7

Step-by-step explanation:

f(x) = 4x^3 - 2x and g(x) = x^3 + 6x^2 + 3x - 7,

f(x) + g(x)= 4x^3 - 2x+ x^3 + 6x^2 + 3x - 7

               4x^3 + x^3 + 6x^2 + 3x- 2x - 7

Combine like terms

5x^3+6x^2+x-7

4 0
3 years ago
The functions f(x) = x2 – 3 and g(x) = –x2 + 2 are shown on the graph.
docker41 [41]

The set of inequalities y ≤ x² - 3 and y > -x² + 2 do not have a solution

<h3>How to modify the graphs</h3>

The attached figure 1 represents the missing piece in the question

From the graph, we have:

f(x) = x² - 3

g(x) = -x² + 2

Next, we change the equations to inequalities as follows:

y ≤ x² - 3

y > -x² + 2

To modify the graph, we then perform the following transformations:

  • Shift the function g(x) down by 2 units
  • Reflect across the x-axis
  • Shift the function g(x) down by 3 units

<h3>How to identify the solution set</h3>

After the modifications in (a), we have:

y ≤ x² - 3 and y > -x² + 2

Next, we plot the graph of the inequalities

From the graph of the inequalities, the curves of the inequalities have no point of intersection

Hence, the set of inequalities do not have a solution

Read more about inequalities at:

brainly.com/question/24372553

#SPJ1

5 0
2 years ago
The area of a circle is 153.86 square meters. What is the diameter of the circle?
Yuliya22 [10]
Area of circle = πr² 

Given that area = 153.86 m², find the radius:

 153.86 = πr²

r² = 153.86 ÷ π

r² = 48.98

r = √48.98

r = 7 m

Diameter = Radius x 2 = 7 x 2 = 14 m

Answer: Diameter = 14 m



8 0
3 years ago
Mr Jones has 20,000 to invest. He invests part at 6% and part at 7%, if hr earns 1,280 in interest after 1 year, how much did he
MariettaO [177]


Let x be the amount he invests at 6%

1280 = 0.06x + 0.07(20000 - x)
1280 = 0.06x + 1400 - 0.07x
1280 - 1400 = -0.01x
-120 / -0.01 = x
x = 12000

Therefore, he invests $12,000 at 6% and $8,000 at 7%

6 0
3 years ago
Paper and Pencil Construction: Construct a Line Perpendicular to a Given Line through a Point on the Line
Zarrin [17]

Step-by-step explanation:

wait a person was about to report it sorry ;/

had to take it off

5 0
3 years ago
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