Question

Use the graph below to answer the question that follows:
What is the rate of change between the interval of x = pi over 4 and x = pi over two?

Answer 1

@mathmale

Answer 2

@jhonyy9

Answer 3

I dont see where pi/4 is on the graph?

Answer 4

pi over 4 is equivalent to (1/4) pi; pi over 2 is equivalent to (1/2) pi.

Answer 5

@mathmale what would be the coordinate for pi/4?

Answer 6

@mathmale these are my choices

Answer 7

@jdoe0001 can you help me?

Answer 8

@robtobey

Answer 9

well... hmmm get the difference of the OUTPUTS, that'd be the rate of change, or "slope"

Answer 10

pi/4 is halfway between 0 and pi/2.
Use a ruler or the edge of a piece of paper through pi/4 and determine approx. where the straight line intersects the given graph. That'd be your y-coordinate.

Answer 11

would it be 1?

Answer 12

As I see it, the y-coordinate of the intersection of the vertical line y=pi/4 and the graph of the sinusoid is about -0.8. Can you accept that?

Answer 13

got it, the answer would be -32/pi

Answer 14

and no the y coordinate would be 1?

Answer 15

To verify: how did you calculate the change in y? The change in x is pi/4.

Answer 16

y2-y1/x2-x1

Answer 17

sorry that was distance formula lol

Answer 18

as you move from left to right from pi/4 to pi/2, the function value is always decreasing, and the change is therefore negative. Try again. What is the change in y?

Answer 19

thats why i got a negative answer

Answer 20

i did 7-1

Answer 21

-7-1

Answer 22

Your result should be negative. I agree with the value 7, but not with the value 1.
Also, the 7 should come first and the value of the function at x=pi/4 should come 2nd. Try again.

Answer 23

the way I see it, the value of the function at x=pi/4 is 0.