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a.
To calculate: the values of
a.
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Answer to Problem 7E
Explanation of Solution
Given information: the graph of function g is provided,
Graph:
Interpretation:
In the graph, the value of
Similarly, the corresponding y -values for,
Hence,
b.
the domain and the range of the provided graph
b.
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Answer to Problem 7E
The domain and range of g is [-4,4] and [-2,3], respectively.
Explanation of Solution
Given information: the graph of function g is provided,
Graph:
Interpretation:
The domain of the function g is all the ix-values of the points on the graph, and the range is all the corresponding y -values.
From the graph of g , we see that the domain of g is the interval [-4, 4] and the range of g is the interval [-2, 3].
Hence, the domain and range of g is [-4,4] and [-2,3], respectively.
Chapter 2 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below. Let g(x) = √ƒƒ(t) dt . 0 3 2 -2 2 4 5 6 7 8 9 10 11 12 13 14 15 1. g(0) = 2. g(2) = 3. g(4) = 4. g(6) = 5. g'(3) = 6. g'(13)=arrow_forwardThe expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14 dx x+1 (C) 1½-½√ √ ² ( 14 ) d x (B) √31dx (D) So 3+x -dx is a Riemann sum approximation of which 5 (E) 1½√√3dx 2x+1arrow_forward2. Suppose the population of Wakanda t years after 2000 is given by the equation f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000 people? Show all your work, round your answer to two decimal places, and include units. (4 points)arrow_forward
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- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forward
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