meli6552
16.12.2021 •
Mathematics
7. Is the following a function? {(1,3), (2,4), (3,5),(4,10), (5,15),(3,5)}
Solved
Show answers
More tips
- C Computers and Internet War of Social Media: Which Platform is the Leader?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
Answers on questions: Mathematics
- M Mathematics Write and Graph Inequalities 1. When cooking a turkey, the recommended internal temperature of the turkey is 165 °F. A lower internal temperature will undercook the turkey....
- M Mathematics Some boys and girls took part in a competition. 2/5 of the competitors were boys. 1/3 of the boys were disqualified from the competition. If there were 135 competitors...
- M Mathematics List the factor pairs of the number 15...
- M Mathematics Find the 50th term of the sequence 5, –2, –9, –16, –352 –343 –338 –331...
- H History Success of Justinian Code...
- P Physics When the temperature of a gas in a ballon is reduced by half the average kinetic energy of the particles is...
- E English I trusted him with my heart, but he let go of it, and broke it....
Ответ:
Yes it's a function.
Explanation:
While x = 3 does repeat itself, the y value repeats itself as well for this particular x value. In other words, we have two copies of (3,5). Toss out any duplicate (x,y) pairings and we have this simplified set:
{(1,3), (2,4), (3,5), (4,10), (5,15)}
At this point, we don't have any repeated x values. Therefore, we have a function. Any input x leads to exactly one y output. The y values are allowed to repeat themselves.
Extra info:
The domain is {1,2,3,4,5} which is the set of x coordinatesThe range is {3,4,5,10,15} which is the set of y coordinates.This function is one-to-one because there are no repeat y values.Ответ:
No
Step-by-step explanation:
If you look at the numbers in each pair, three is the first number (x) in 2 of them. Functions cannot have repeating Xs.
Ответ:
y= (-9/2)*x-5/2 or 2y+9x+5=0
Step-by-step explanation:
given the following equation
y² = 5*x⁴ - x²
we can take the derivative with respect to x in both sides to get the slope of the tangent line , and knowing that y=f(x) we can apply the chain rule , therefore
d(y²)/dx = d(5*x⁴ - x²)/dx
2*y*dy/dx = 5*4*x³ - 2*x
dy/dx = (10*x³-x)/y
replacing values (x=-1,y=2)
m=dy/dx = (10*(-1)³-(-1))/2 = -9/2
now from the equation of the line
y= m*x+h
we know that (x=-1,y=2) belongs also to the line since it is tangent to the curve, thus
2= (-9/2)*(-1) + h
h = 2 - 9/2 = (-5/2)
thus
y= (-9/2)*x-5/2
or
2y+9x+5=0