Testbank Thomas' Calculus Early Transcendentals 15th Edition George Thomas Hass Heil Weir 9780137559824

Solutions Manual, Solutions For
Thomas' Calculus Early
Transcendentals, 15th Edition,
George Thomas, Hass, Heil, Weir,
9780137559824

1. f(x) = 1 + x² - answer-domain=(-∞,∞), range=(1,∞)



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2. f(x) = 1 - √x - answer-domain=(0,∞); range=(-∞,1)



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3. F(x) = √5x + 10 - answer-domain=(-2,∞); range=(0,∞)



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4. g(x) = √x²-3x - answer-domain=(-∞,0) and (3,∞); range=(0,∞)



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, 5. f(t) = 4/3-t - answer-*domain=(-∞,3) U (3,∞)*; y in range and y = - t, t<3 => 3-t > 0 => 4 /
3 - t > 0, or if t > 3 => 3 - t < 0 => 4/3 - t < 0 => y can any nonzero real number => *range=(-∞,0)
U (0,∞)*



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6. G(t) = 2/t²-16 - answer-domain=(-∞,-4) U (-4,4) U (4,∞);

range=(-∞,-1/8) U (0, ∞)



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7. In exercise 7 which are the graphs are graphs of functions of x and which are not - answer-a.
is not the graph of a function

b. is the graph of a function



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8. In exercise 8 which are the graphs are graphs of functions of x and which are not - answer-a.
is not a graph of a function

b. is not a graph of a function



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9. Express the area and perimeter of an equilateral triangle as a function of the triangle's side
length x - answer-Perimeter: p(x) = 3x



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