## anonymous one year ago f(x)=x^2+3x-4

1. anonymous

find the domain,range, axis of symetry, and vertex

2. anonymous

@Hero

3. Hero

@pooja195, help her

4. anonymous

:)

5. pooja195

Have you started this yet? If so what do you have so far? :)

6. anonymous

No, I tried to but it didn't really make sense. I graphed it though by plugging in points

7. pooja195

Thats fine Starting with all real numbers, the domain is the largest possible set of x values that has a meaningful y value. The largest possible set of x values is all the real numbers, since each real number has a meaningful output , there is no division by zero or square root of a negative number.

8. anonymous

okay so the domain would be all real numbers?

9. pooja195

yes :)

10. pooja195

Wanna try out range?

11. anonymous

sure

12. pooja195

For range there is no simple formula. You have to look at the graph and find the y values which are 'hit'

13. anonymous

y<=4?

14. pooja195

Look at this https://www.desmos.com/calculator/9zbczplemb

15. pooja195

Range would be the green line

16. pooja195

if you shine a flashlight horizontally , the range is the shadow

17. anonymous

so, y<-3/2??

18. pooja195

thats the axis of symmetry

19. anonymous

ok, so then what would the range be? Sorry, I dont understand this part

20. pooja195

The range would be y>= -25/4 because the range is the y values of the ordered pairs of your function

21. anonymous

oh okay! So now all we need is the vertex which is -1.5,-6.25?

22. pooja195

Thats correct good job :)

23. anonymous

24. pooja195

$$~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}$$$$\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!$$$$~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}$$$$\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}$$$$\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}$$

25. anonymous

Lol! Aww! That's so sweet<3!!!! Thanks:D

26. pooja195

:3 <3

27. anonymous

ty you too, hero:)

28. pooja195

@ChloeSiouz hold up theres a mistake

29. anonymous

Ok:)

30. pooja195

range is y>-4 it means you can't get value less than -4 by putting any value of x

31. anonymous

Alright, is the axis of symmetry still the same though?

32. anonymous

so, is everything else okay?

33. pooja195

It remains the same. Everything else looks fine.

34. anonymous

cool:)! Glad you caught that hhaaha:)

35. pooja195

:)