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COURSE Mastering Algebra I: Course II
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Unit 1.1 Rational and Irrational Numbers Session 3 The Square Root Function
Tutorial
Learning Objectives
Graph a finite set of ordered pairs .
Graph the square root function.
Identify the domain, range, and equation of the square root function.
Examine the effect of a on the graph of .
Overview We look at the graph of the square root of numbers. We recognize that this graph is a function and examine how this function can be used to measure the speed of a large ocean wave.
Keywords square root, domain, range, interpolate, extrapolate, parameter, non-linear function
Workout
Question 1 We identify some ordered pairs that satisfy Galileo¹s relation for the time it takes an object to fall and the distance it falls and plot them on a graph of the corresponding function.
Objectives
Graph a finite set of ordered pairs .
Graph the square root function.
Difficulty Level 2
Question 2 We identify the equations of square root functions that correspond to each of three different graphs.
Objectives
Graph the square root function.
Examine the effect of a on the graph .
Difficulty Level 2
Question 3 We identify the domain and range of a square root function which relates the height of a periscope above water to the distance the periscope user can see.
Objectives
Identify the domain, range, and equation of the square root function.