Question

What is the range of the graph of y = −2x2 − 8x − 7?

y ≥ 1

y ≤ 1

y ≤ −2

All real numbers

Answer 1

\[y=-2x ^{2}-8x-7\] is this the equation?

Answer 2

if so you need to find the maximum or minimum value of this function. It is quadratic so it will be a parabola and upside down since the x^2 term is negative

Answer 3

how do you find the range?

Answer 4

The range is all the possible values of y. so since this is a parabola there will be a maximum for y but no minimum. Do you know how to calculate derivatives/

Answer 5

ohh no.

Answer 6

do you have a graphing calculator?

Answer 7

yes

Answer 8

so 1. graph this equation
2. press 2nd and hit the trace button.
3.Choose option number 4
4. move the cursor to the left of the highest point on the graph and press enter
5. move the cursor to the right of the highest point and press enter
6. press enter again
7. look on the bottom of the screen you will see an x= and y=
the y value is the maximum value of y and the range is that value and everything else below it.
Let me know what you get

Answer 9

y less than or equal to 1?

Answer 10

YUP

Answer 11

yay!! thanks!