Questions from Calculus

Q: The graph shows one of the six basic functions and a transformation

The graph shows one of the six basic functions and a transformation of the function. Describe the transformation. Then use your description to write an equation for the transformation.

Q: One of the fundamental themes of calculus is to find the slope

One of the fundamental themes of calculus is to find the slope of the tangent line to a curve at a point. To see how this can be done, consider the point (2, 4) on the graph of f(x) = x2 (see figure)....

Q: Use the graph of y = f (x) to match

Use the graph of y = f (x) to match the function with its graph. y = f(x + 5)

Q: Use the graph of y = f (x) to match

Use the graph of y = f (x) to match the function with its graph. y = f(x) − 5

Q: Use the graph of y = f (x) to match

Use the graph of y = f (x) to match the function with its graph. y = −f(−x) − 2

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If the domain of a function consists of a single number, then its range must al...

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. xy = 4

Q: Use the graph of y = f (x) to match

Use the graph of y = f (x) to match the function with its graph. y = −f(x − 4)

Q: Use the graph of y = f (x) to match

Use the graph of y = f (x) to match the function with its graph. y = f(x + 6) + 2

Q: Use the graph of y = f (x) to match

Use the graph of y = f (x) to match the function with its graph. y = f(x − 1) + 3