![anthony3913](/avatars/16654.jpg)
anthony3913
03.03.2021 •
Mathematics
a tennis ball is hit vertically upward with an initial velocity of 80 feet per second starting from an initial hight of 4 feet off the ground, when does the tennis ball reach its maximum height & how long is the tennis ball above 45 feet?
Solved
Show answers
More tips
- H Health and Medicine Everything You Wanted to Know About Male Circumcision: Its Goals and Effects...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
Answers on questions: Mathematics
- M Mathematics ANSWER PLS!! HELP! WILL GIVE BRAINLIEST...
- M Mathematics Use the graph shown to decide if each quantity appears to be positive, negative, or zero. I JUST NEED SOMEONE TO CHECK MY ANSWERS PLEASE....
- M Mathematics The expression is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression?....
- M Mathematics 1. How much more would $9,500 earn in 9 years, compounded daily at 1.75%, When compared to the interest on $9,500 over 9 years, at 1.75% compounded quarterly?...
- M Mathematics Please answer these two questions! I need this done by 10:40 PM EASTERN STANDERED TIME...
- M Mathematics Complete the following table given the function equation Y= 2x - 3...
- M Mathematics Sid wants to build a right triangle. Which of these sets of sides would not work? {240, 244, 44} {18, 82, 80) {68, 60, 32) {253, 406, 478)...
- M Mathematics Please help I’ll mark you as brainliest if correct!...
- M Mathematics Please help Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches,...
- M Mathematics In right triangle AABC, MZA= 37º. Find mzB. 1...
Ответ:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.