1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
3 years ago
15

Could you help me on this? i dont think i have the right anwsers

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0
<h2><u>Answers: </u></h2>

1. <em>In a function, every output value corresponds to exactly one input value</em>


This is false, because <u>the definition of a function</u><u> states that each input value (domain) must have one output value (range).</u> Then, in this statement the words that need to be changed are <u>output</u> and <u>input. </u>

This is the correct statement:


In a function, every <u>input</u> value corresponds to exactly one <u>output</u> value



2a. Explain how the vertical line test shows that this relation is not a function:


The vertical line test consists in drawing a vertical line over the traced curve, if this line cuts the curve in two points or more, this is automatically <u>NOT a function</u>.


In this case, if we trace a vertical line in the graph shown, <u>the line cuts the graph in two points</u>



2b. Name two points on the graph that show that this relation is NOT a function:


According to the graph shown, two points would be (4,2) and (4,-2)



3. Sketch the graph of a relation that is a function:


The curve traced in the archive attached is ok if we want to show a relation that is a function.

Another example could be the shown in the <u>first figure attached</u>


4. Sketch the graph of a relation that is NOT a function:


In <u>the second figure attached</u> is shown the graph of a circle, where we can clearly see it fails the vertical line test.


 

5. Determine if each one represents a function or not:


5a. A golf ball is hit down a fairway. The golfer relates the time passed to the height of the ball


Function

In this case, for <u>every time passed</u> there is a <u>height of the ball</u>. <em>Remember: every input value corresponds to exactly one output value</em>


5b. A trainer takes a survey at all the athletes in a school about their height, rounded to the nearest inch, and their grade level. The trainer relates their grade levels to their heights.


Not a Function

In this case, for <u>every grade level</u> maybe <u>there are different height values (more than one value)</u>. <em>Remember: every input value corresponds to exactly one output value.</em>

6. Complete the sentences:


6a. The <u>x-intercept</u> of a graph is the location where the graph crosses the x-axis


6b. The <u>y-intercept</u> of a graph is the location where the graph crosses the y-axis


6c. The <u>x-coordinate</u> of the y-intercept is always zero


6d. The <u>y-coordinate</u> of the x-intercept is always zero


6e. The x-intercept is the <u>solution</u> of a function or group



7a. The above graph is linear


7b. Is the above graph a function?


Yes, if you do the vertical line test, the line cuts or intercepts only one point.


7c. The y-intercept is the point (0,10) and represents <u>the point where the graph of this function crosses the y-axis</u>. This means this curve crosses the y-axis in the point (0,10)



7d. Why would there not be an x-intercept for this situation?


Because in the figure is not shown the point in which the line crosses the x-axis. Nevertheless, this line should have an x-intercept, but is not shown here.


If a line has no x-intercept, this means it must be parallel to the x-axis (never crosses it), but in this case this line does not seem to be parallel to the x-axis.

This line have an x-intercept in the negative part of the x-axis


8a. The above graph is non-linear


8b. Yes it is a function, if you do the vertical line test, it will cut the curve in one point


8c. The y-intercept is 0 (point (0,0)), and represents <u>the point where the graph of this function crosses the y-axis</u>.

This means this curve crosses the y-axis in the point (0,0), also called <u>The origin</u> of the coordinate system. This is also one of th x-intercepts of this graph.


8d. What is the solution to this graph and what does it represent in this situation?


This a negative vertical parabola, represented by the quadratic equation. The solutions are the x-intercepts which are the points (0,0) and (100,0)




You might be interested in
Predict the next three numbers in the pattern.
Maurinko [17]

Answer:

896 1792 3584

Step-by-step explanation:

5 0
2 years ago
Students on the CARE Team are selling puppies, yes, puppies! They earn $0.40 on each puppy they sell. Their goal is to earn more
cricket20 [7]
0.4 x >= 327 Divide by 0.4
x >= 327/0.4 which is not going to be an even number.
x >= 817. 5 puppies. So they need to sell 0.5 more puppies. Better round this quickly before someone decides to do something stupid to get the extra 1/2 puppy. For us it's simple. Just add a 1/2 puppy more.

x >= 818 puppies <<<<==== answer.
3 0
3 years ago
Please help!!!! 30 pts
Sedbober [7]

We are given equation:

5/6 x -2 = -2/3 x +1.

Note: when we have fracions in an equation, we always try to get rid fractions by removing denominator parts.

In the given equation we have 6 and 3 in denominator. So, we need to find the common denominator (lowest common denomiantor) of 6 and 3.

The lowest common denomiantor of 6 and 3 is 6.

So, equation is being multiplied by 6 on both sides.

Therefore,

Step 1) Multiply each side by LCD of fractions.

6 ( 5/6 x -2 ) = 6 (-2/3 x +1)

Step 2) Use distributive property to simplify above step, we get

6* 5/6 x = 5x

6 * -2 = -12

6 * -2/3 x = -4x and

6 * 1 = 6.

Therefore, we get

5x - 12 = -4x + 6 on simplifying second step.

Step 3) We use Addition property of Equality in third step.

Because we have -4x on right side, and the reverse operation of subtraction is addition.

5x - 12 = -4x + 6

+4x        +4x    Step 4) Here we just did simplification of above step.

____________________

9x -12  = 6

  +12   +12     Step 5) Again applied Addition property of Equality to get rid -12 from left side.  

_______________

9x  = 18         Step 6) Here we just did simplification of above step.

Step 7) Because 9 is being multiplied with x on left side. To get rid 9 from left side we need to apply reverse operation of multiplication.

Therefore, Division property of equality is used there by dividing 9 on both sides.

9x/9 = 18/9  

Step 8) Again did simplification of above step.

x=2 Final answer.

3 0
3 years ago
Read 2 more answers
If O is an angle in standard position and its terminal side passes through the point
Nataliya [291]

Answer:

-1/3

Step-by-step explanation:

6 0
2 years ago
How do I divide integers with different signs
jek_recluse [69]
Multiply or divide normally. Whenever the signs are different it’s always gonna be a negative.
7 0
3 years ago
Other questions:
  • If five notebooks cost $5.25 then how much would three notebooks cost
    8·2 answers
  • Which list of numbers is in order from least to greatest?
    14·2 answers
  • What is it please help me
    15·1 answer
  • Steve watched television for 3/4 hour on monday and 5/6 hour on tuesday how much longer did he watched television on tuesday tha
    11·1 answer
  • If (-2, y) lies on the graph of y = 3*, then y=<br> 0-9<br> 06<br> 19
    13·1 answer
  • Help me with this question please
    8·1 answer
  • Find the equation of the line.<br> Use exact numbers.
    15·1 answer
  • Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,
    7·1 answer
  • PLEASE HELP!! can someone please explain what i did wrong?
    5·1 answer
  • Approximately 3 x 10° people live in the USA.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!