# Radicals : MTH133 Unit 3

1) Solve the following equations.
a)
Show work in this space.

b)
Show work in this space.

c)
Show work in this space.

2) Is an identity (true for all nonnegative values of x)?

3)
x -2 -1 0 1 2
y .111 .333 1 3 9

Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.

Graph:

Graph Type:

Explanation:

Domain:

Range:

4) For the function,

a) Give the y values for x = -2, -1, 0, 1, 2, 3.

Show work in this space.

b) Using these points, draw a curve.
Show graph here.

5) For the equation , perform the following:
a) Solve for all values of x that satisfies the equation.
Show work in this space.

b) Graph the functions y = x and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection:

6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 6 feet and 8 feet.