Questions from General Calculus

Q: A function is given by a table of values, a graph

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. f (x) = 10 - 3x

Q: A function is given by a table of values, a graph

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. g (x) = 1/x

Q: A function is given by a table of values, a graph

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. f (t) is the height of a football t seconds after kickoff.

Q: A function is given by a table of values, a graph

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. f (t) is your height at age t.

Q: Use the graphs of x = f (t) and y

Use the graphs of x = f (t) and y = g (t) to sketch the parametric curve x = f (t), y = g (t). Indicate with arrows the direction in which the curve is traced as increases.

Q: If f is a one-to-one function such that

If f is a one-to-one function such that f (2) = 9, what is f-1 (9)

Q: Use the Law of Exponents to rewrite and simplify the expression.

Use the Law of Exponents to rewrite and simplify the expression.

Q: Graph the given functions on a common screen. How are these

Graph the given functions on a common screen. How are these graphs related?

Q: The formula C = 5/9 (F – 32),

The formula C = 5/9 (F – 32), where F > -459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function and interpret it. What is th...

Q: (a). Suppose f is a one-to-one

(a). Suppose f is a one-to-one function with domain A and range B. How is the inverse function f-1 defined? What is the domain of f-1? What is the range of f-1? (b). If you are given a formula for f,...