What is the rate of change from x=0 to x=pi/2?

Question

anonymous · Answer

That link is not working for me

anonymous · Answer

@jim_thompson5910

anonymous · Answer

What is the rate of change from x = 0 to x = pi over 2?

trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4

jim_thompson5910 · Answer

`trig graph with points at 0, negative 4 ... pi over 2, 0 `

so we know (0,-4) and (pi/2, 0) are points on this graph

danjs · Answer

the average rate is the slope of a line connecting those two endpoints

jim_thompson5910 · Answer

you simply need to find the slope of the line through the two points (0,-4) and (pi/2, 0)

anonymous · Answer

I can find the slope fairly well, it's just with the pi in the equation, Idk what to do:(

anonymous · Answer

y1-y2/x1-x2=-4-0/0-pi right?

jim_thompson5910 · Answer

I think you mean pi/2 instead of just pi? right?

anonymous · Answer

oh yes! Sorry

jim_thompson5910 · Answer

so up top we have y2 - y1 = 0 - (-4) = 0 + 4 = 4

in the bottom we have x2 - x1 = pi/2 - 0 = pi/2

jim_thompson5910 · Answer

now you just need to simplify $$\Large \frac{4}{\pi/2}$$

anonymous · Answer

8/pi?

jim_thompson5910 · Answer

yep

anonymous · Answer

Yay! Can I ask another/

anonymous · Answer

Compare the functions below:


f(x) = 2x2 + 3x − 4	g(x)

trig graph with points at 0, 0 and pi over 2, 3 and pi, 0 and 3 pi over 2, negative 3	h(x)

x	y
−3	−8
−2	−6
−1	−4
0	−2
1	0
2	2
3	4


Which function has the largest y-intercept?

anonymous · Answer

would the answer be g(x)?

jim_thompson5910 · Answer

I'm guessing g(x) is the graph being described with the set of points?

anonymous · Answer

yes:)

jim_thompson5910 · Answer

what is the y intercept of f(x) ? g(x) ? h(x) ?

anonymous · Answer

when x=0 right?

jim_thompson5910 · Answer

correct, what is the y value when x = 0 ?

anonymous · Answer

f(x)=2(0)^2+3(0)-4=-4
g(x)=0
h(x)-2

jim_thompson5910 · Answer

all three look good. I'm assuming you meant to say `h(x) = -2 when x = 0` for that last part

anonymous · Answer

yes hahah :)

anonymous · Answer

So the largest y-intercept would be g(x) rigjt?

jim_thompson5910 · Answer

yes since 0 is the largest of the three outputs (-4,0,-2)

anonymous · Answer

Thanks so much! You're awesome!

anonymous · Answer

I have more questions, so I'll open a new thread. Please come help again :D