Questions from Calculus

Q: Use the graph of f shown in the figure to sketch the

Use the graph of f shown in the figure to sketch the graph of each function. To print an enlarged copy of the graph, go to MathGraphs.com. a. f(x + 3) b. f(x − 1) c. f(x) + 2 d...

Q: Use the graph of f shown in the figure to sketch the

Use the graph of f shown in the figure to sketch the graph of each function. To print an enlarged copy of the graph, go to MathGraphs.com. a. f(x − 4) b. f(x + 2) c. f(x) + 4 d. f...

Q: Sketch the graph of the function f(x) = √

Sketch the graph of the function f(x) = √x and label the point (4, 2) on the graph. a. Find the slope of the line joining (4, 2) and (9, 3). Is the slope of the tangent line at (4, 2) greater than or...

Q: Find (a) f (x) + g(x

Find (a) f (x) + g(x), (b) f (x) − g(x), (c) f (x) ∙ g(x), and (d) f (x) g(x). f(x) = 2x – 5 g(x) = 4 − 3x

Q: Find (a) f (x) + g(x

Find (a) f (x) + g(x), (b) f (x) − g(x), (c) f (x) ● g(x), and (d) f (x) g(x). f(x) = x2 + 5x + 4 g(x) = x + 1

Q: Given f(x) = √x and g(x

Given f(x) = √x and g(x) = x2 − 1, evaluate each expression. a. f(g(1)) b. g(f(1)) c. g(f(0)) d. f(g(−4)) e. f(g(x)) f. g(f(x))

Q: Given f(x) = 2x3 and g(x)

Given f(x) = 2x3 and g(x) = 4x + 3, evaluate each expression. a. f(g(0)) b. f (g( 1 2)) c. g(f(0)) d. g( f (−1 4)) e. f(g(x)) f. g( f(x))

Q: Test for symmetry with respect to each axis and to the origin

Test for symmetry with respect to each axis and to the origin. xy2 = −10

Q: Find the composite functions f ∘ g and g ∘ f.

Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. Are the two composite functions equal? f(x) = x2 g(x) = √x

Q: Find the composite functions f ∘ g and g ∘ f.

Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. Are the two composite functions equal? f(x) = x2 – 1 g(x) = −x