Help images below!!!
1 answer:
You might be interested in
The equation is an illustration of a linear function
The rate of change is 10 and the initial value is 25
<h3>How to determine the rate of change and the initial value</h3>The equation is given as:
A linear equation is represented as:
Where:
- b represents the initial value
- m represents the rate
By comparison:
b = 25
m = 10
Hence, the rate of change is 10 and the initial value is 25
Read more about linear functions at:
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
__
(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
