Question

Use a graphing calculator or computer to decide which viewing rectangle produces the most appropriate graph of the equation.

y=130-x^2

Answer 1

Possible answers:
[−2, 2] by [−2, 2]
[−10, 10] by [−10, 10]
[−15, 15] by [−10, 140]
[−2, 2] by [−10, 140]

Answer 2

First of all, what is the y-intercept on this graph?

Answer 3

(0,130)

Answer 4

Correct! So which of the graph dimensions provides enough room to fit at least the y-intercept?

Answer 5

the one with the 140

Answer 6

what about for the equation y=sqrt(8x-x^2)

possible answers are:
[−4, 4] by [4, 4]
[−5, 5] by [0, 100]
[−10, 10] by [−10, 40]
[−2, 10] by [−2, 6]

Answer 7

Correct! Try applying the same concept to this new question as the ones that I did before. Keep asking yourself questions about the graph until you are able to get a good enough idea about how big the viewing rectangle should be.

Answer 8

[−10, 10] by [−10, 40]

is the answer right?

Answer 9

No, not correct. Try thinking what the graph might look like. If you have trouble, try actually drawing a graph to see how it starts looking to get an idea of what you're dealing with.

Answer 10

ohhh its gotta be this one: [−4, 4] by [4, 4]

Answer 11

Very close! Try working to see what the upper limit of the x-axis should be, and you should get your final answer!

Answer 12

x-int: (0,0),(8,0)
y-int: (0,0)

Answer 13

Correct! Which of the answer choices is the closest to that?

Answer 14

[−2, 10] by [−2, 6]

Answer 15

Perfect. Just apply similar concepts to all questions like these, and you should be solving these problems in no time.

Answer 16

Thank you for your medal! If you have time, I would greatly appreciate a testimonial as well. They will further help me in assisting others like you in the future.