The function f is given by its graph on the interval [-5, 8]. Q1.1 S f(x) dx = = Q1.2 4 -3 -2 -1 [*3(f(x))² dz= Q1.3 f(x) dx = 4 q -1 ↑ 2 3 4 5 f(x) 7 X

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?

Find the x- and y-intercepts of the graph: x — y = 2.

Find the x- and y- intercepts on the graph.

Why does the horizontal line test tell us whether the graph of a function is one-to-one?

How do you find the value of a function?

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.Write a list of six ordered pairs to show the height of the candle in inches (y) as a function of time in hours )x) from the first hour after it started burning. For example, the point (0,8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs Is this relation a function? Justify your answer using the list ordered pairs made in the first part. If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function and explain the answer using input and output values.

A wind turbine has a tubular steel tower that is 70 meters high. It has three 20-meter long blades attached to the top of the tower, as in the figure below. 20 m H 70 m (a) Blade 1 starts at the 3 o'clock position and rotates counterclockwise. Find a formula for the height h, in meters, of the tip of blade 1 as a function of the angle 0°. As usual, we measure 0 counterclockwise from the 3 o'clock position.

The set of ordered pairs below represents a function. {(-2,4),(9,-1),(4,-3),(-5,3),(0,8)} Which of the following ordered pairs could NOT be included in this situation if it must remains a function? A:(-5,2) B: (3,3) C: (7,0) D: (-1,5)

Think about the following relation: {(-1,2),(2,7),(-1,0).(6,7)} What is the domain of the relation? { What is the range of the relation? {