1. For each of the following relations, indicate whether it is a function. If it is a function, give its range. If it is not a function, explain why. f:R → R such that f(x) = Vx а. b. f:R → R such that f(x) = Vx²

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

How do we determine the domain of a function defined by an equation?

Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?

Classify the function as being even, odd, or neither.

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

A function and its graph are given. fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 (a) From the graph, estimate where f"(x) > 0. (Enter your ansver using interval notation.) Estimate where f"(x) 0. (Enter your answer using interval notation.) Find where f"(x) < 0. (Enter your answer using interval notation.) Find vwhere f"(x) = 0. (Enter your answers as a comma-separated list.) Find where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima

Consider two sets, A and B, such that A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. Let f be a function from set A to set B defined as follows: f(x) = x^2 - 1. Find the range of the function f.

A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) 0. (Enter your answer using interval notation.) Find where f"(x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) Find where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minima

Define f (x) = x+3 Identify which of the following are points on the graph of this function (identify ALL correct answers!). A) (-0.5,0.2) B) (1,0.25) C) (-2,-2) D) (5,0.625) E) (-1,2) F) (0,3)