Questions from General Calculus

Q: (a). What is a one-to-one function

(a). What is a one-to-one function? How can you tell if a function is one-to-one by looking at its graph? (b). If f is a one-to-one function, how is its inverse function defined? How do you obtain the...

Q: Let f be the function whose graph is given. f

Let f be the function whose graph is given. f (a). Estimate the value of f (2). (b). Estimate the values of such that f (x) = 3. (c). State the domain of f. (d). State the range of f. (e). On what i...

Q: Starting with the graph of y = ln x, find the

Starting with the graph of y = ln x, find the equation of the graph that results from (a). shifting 3 units upward (b). shifting 3 units to the left (c). reflecting about the x-axis (d). reflecting ab...

Q: (a). If we shift a curve to the left,

(a). If we shift a curve to the left, what happens to its reflection about the line y = x? In view of this geometric principle, find an expression for the inverse of g (x) = f (x + c), where f is a on...

Q: The graph of is given. / (

The graph of is given. (a). State the value of g (2). (b). Why is one-to-one? (c). Estimate the value of g-1 (2). (d). Estimate the domain of g-1. (e). Sketch the graph of g-1.

Q: (a). What is an even function? How can you

(a). What is an even function? How can you tell if a function is even by looking at its graph? (b). What is an odd function? How can you tell if a function is odd by looking at its graph?

Q: Suppose that the graph of f is given. Describe how the

Suppose that the graph of f is given. Describe how the graphs of the following functions can be obtained from the graph of f.

Q: The graph of f is given. Draw the graphs of the

The graph of f is given. Draw the graphs of the following functions.

Q: Determine whether is even, odd, or neither even nor odd

Determine whether is even, odd, or neither even nor odd. (a). f (x) = 2x5 – 3x2 + 2 (b). f (x) = x3 – x7 (c). f (x) = e-x2 (d). f (x) = 1 + sin x

Q: Find an expression for the function whose graph consists of the line

Find an expression for the function whose graph consists of the line segment from the point (-2, 2) to the point (-1, 0) together with the top half of the circle with center the origin and radius 1.