Answer to Question #57179 in Calculus for Jeff

Question

: Which of the following could be an example of a function with a range (-∞, -a] and a domain [ -b, ∞) where a > 0 and b > 0?

A: f(x) = 3√(x-b) + a
B: f(x) = - 3√x + a – b
C: f(x) = - √x + b - a
D: f(x) = √x – a + b


: Which of the following are true statements?
Check all that apply.

The graph of f(x) = -1/2 √x will look like the graph of f(x) = √x but will reflect it about the x-axis and shrink it vertically by a factor of ½

The graph of f(x) = -1/2√x will look like the graph of f(x) = √x but will shrink it vertically by a factor of ½

The graph of f(x) = -1/2√x will look like the graph of f(x) = √x but will shrink it horizontally by a factor of ½

f(x) = -1/2√x has the same domain but a different range as f(x) = √x