Question 1: Identify the domain of the function f(x) = 3x + 5.

Answer: all real numbers

Question 2: Determine the range of the function g(x) = sqrt(x - 2).

Answer: x ≥ 2, so range is y ≥ 0

Question 3: For the function h(x) = 1/(x - 4), state the domain.

Answer: x ≠ 4

Question 4: Plot the graph of y = 2x on the grid provided. (Students draw on grid.)

Answer:

Question 5: Construct a triangle with side lengths that produce a function with a domain of all real numbers and a range of y ≥ 0.

Answer:

Question 6: The function f(x) = x^2 - 4x + 3 is given. Find its domain and range.

Answer: domain: all real numbers; range: y ≥ -1

Question 7: A function h(x) = |x - 3|. What is the range of this function?

Answer: y ≥ 0

Question 8: Identify the domain of the function f(x) = ln(x - 1).

Answer: x > 1

Question 9: A car's speed v(t) = 60 - 5t (where t is in hours). Determine the range of v(t).

Answer: v(t) ≤ 60, with t ≥ 0

Question 10: Error Analysis: A student claims that the domain of f(x) = 1/x is all real numbers. Identify and correct the mistake.

Answer: The domain excludes x = 0 because division by zero is undefined.

Question 11: A function f(x) = C1x^3 + 2x. Determine the domain and describe the range.

Answer: domain: all real numbers; range: all real numbers