Questions from Calculus


Q: Determine whether f(x) approaches ∞ or −∞ as x

Determine whether f(x) approaches ∞ or −∞ as x approaches 4 from the left and from the right. f(x) = -1 / x - 4

See Answer

Q: Find the values of the constants a and b such that

Find the values of the constants a and b such that

See Answer

Q: Consider the function / Find the domain of f.

Consider the function Find the domain of f. Use a graphing utility to graph the function.

See Answer

Q: Find all values of the constant a such that f is continuous

Find all values of the constant a such that f is continuous for all real numbers.

See Answer

Q: Consider the graphs of the four functions g1, g2, g3

Consider the graphs of the four functions g1, g2, g3, and g4. For each given condition of the function f, which of the graphs could be the graph of f? a. / b. / c. /

See Answer

Q: Sketch the graph of the function / Evaluate f(

Sketch the graph of the function Evaluate f(1 / 4), f(3), and f(1). Discuss the continuity of the function.

See Answer

Q: Sketch the graph of the function / Evaluate f(

Sketch the graph of the function Evaluate f(1), f(0), f(1 / 2), and f(-27). Discuss the continuity of the function.

See Answer

Q: To escape Earth’s gravitational field, a rocket must be launched with

To escape Earth’s gravitational field, a rocket must be launched with an initial velocity called the escape velocity. A rocket launched from the surface of Earth has velocity v (in m...

See Answer

Q: For positive numbers a < b, the pulse function is defined

For positive numbers a a. Sketch the graph of the pulse function. b. Find the following limits: c. Discuss the continuity of the pulse function. d. /

See Answer

Q: Determine whether f(x) approaches ∞ or −∞ as x

Determine whether f(x) approaches ∞ or −∞ as x approaches 4 from the left and from the right. f(x) = 1 / (x – 4)2

See Answer