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4 ?y = G(x) 2 L D -6 -4 -2 2 4 6 x -2 -4 Use the graph to answer the following questions: 1. a) Calculate the average rate of change in G(x) over the interval [1,5] b) Find all visible locations were G'(x)=0. 12 2. Let $f(x) = 9 - \frac{1}{2}x^2$ a) copy the expression $f'(4) = \lim_{x \to 4} \frac{f(x) - f(4)}{x - 4}$ right here : $f'(4) = $ but fill in the four missing pieces marked with ???? You don't not need to evaluate this limit Just write it out

          4
?y = G(x)
2
L
D
-6 -4 -2
2
4
6
x
-2
-4
Use the graph to answer the following questions:
1. a) Calculate the average rate of change in G(x) over the interval [1,5]
b) Find all visible locations were G'(x)=0.
12
2. Let $f(x) = 9 - \frac{1}{2}x^2$
a) copy the expression $f'(4) = \lim_{x \to 4} \frac{f(x) - f(4)}{x - 4}$ right here : $f'(4) = $
but fill in the four missing pieces marked with ???? You don't not need to evaluate this
limit Just write it out
        
Show more…
4
?y = G(x)
2
L
D
-6 -4 -2
2
4
6
x
-2
-4
Use the graph to answer the following questions:
1. a) Calculate the average rate of change in G(x) over the interval [1,5]
b) Find all visible locations were G'(x)=0.
12
2. Let f(x) = 9 - (1)/(2)x^2
a) copy the expression f'(4) = limx → 4(f(x) - f(4))/(x - 4) right here : f'(4) =
but fill in the four missing pieces marked with ???? You don't not need to evaluate this
limit Just write it out

Added by Donald C.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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ty = Gx) 2 6 2 2 T Use the graph to answer the following questions: 1. a) Calculate the average rate of change in G(x) over the interval [1,5]. b) Find all visible locations where G(x) = 0. 2. Let f = 9 - ????. Right here: f(4) = ????. Copy the expression f(4) = ???? but fill in the four missing pieces marked with ????. You do not need to evaluate this limit. Just write it out.
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Transcript

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00:01 In this problem, i want to find the average rate of change between the interval of 4 and b.
00:09 And i don't know what b is.
00:10 So there's going to be some, like, there's not going to be a final answer for sure that is a constant value.
00:18 I'm going to start by finding out where the function's at when x is 4.
00:23 So g of 4 equals 2 times 4 squared minus 9.
00:31 And i'm going to type this into my calculator just the way that it looks on the paper and i get g of 4 is at 23.
00:41 That means i have a point at 423.
00:46 Now i want to do the same thing with b.
00:49 G of b is going to be 2b squared minus 9.
00:55 So here i'm going to have a point located at b, whatever that is, and 2 .2.
01:02 B squared minus 9.
01:05 Now to find the average between the two or the average rate of change between the two, we use the slope formula.
01:13 So y2, 2b squared minus 9 minus y1 minus 23 over x2 b minus x1, 4...
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