Questions from General Calculus

Q: Suppose the graph of f is given. Write equations for the

Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of f as follows. (a). Shift 3 units upward. (b). Shift 3 units downward. (c). Shift 3 units to the righ...

Q: The graph shows the height of the water in a bathtub as

The graph shows the height of the water in a bathtub as a function of time. Give a verbal description of what you think happened.

Q: Find an expression for the function whose graph is the given curve

Find an expression for the function whose graph is the given curve. The line segment joining the points (1, -3) and (5, 7).

Q: Find an expression for the function whose graph is the given curve

Find an expression for the function whose graph is the given curve. The line segment joining the points (-5, 10) and (7, -10).

Q: Find an expression for the function whose graph is the given curve

Find an expression for the function whose graph is the given curve. The top half of the circle x2 + (y – 2)2 = 4

Q: Find a formula for the described function and state its domain.

Find a formula for the described function and state its domain. Express the surface area of a cube as a function of its volume.

Q: A Norman window has the shape of a rectangle surmounted by a

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30 ft, express the area A of the window as a function of the width of the window.

Q: What do all members of the family of linear functions f (

What do all members of the family of linear functions f (x) = 1 + m (x+3) have in common? Sketch several members of the family.

Q: An electricity company charges its customers a base rate of $10

An electricity company charges its customers a base rate of $10 a month, plus 6 cents per kilowatt-hour (kWh) for the first 1200 kWh and 7 cents per kWh for all usage over 1200 kWh. Express the monthl...

Q: Graphs of f and g are shown. Decide whether each function

Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.