# College Algebra

Unit 1 – Graphing

Part 1 Deliverable Length : 6 pages

Instructions

Type your answers next to the yellow text

For non-integer answers , write your answer as a fraction rather than a decimal

To show your work , you will need to include

the algebra used to compute the solution to any equations

the formula with substituted values

the final calculated answer with units

To utilize the scientific calculator on your computer , do the following

Open the calculator (if it is not in the accessories folder , then select Run from [banner_entry_middle]

the Start menu

Select View from the drop down menu

Select Scientific to utilize the calculator

Note that x^y computes any number to any power (integer , fraction decimal

a

Given the above graph , 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

FORMTEXT Graph Type : parabola

FORMTEXT Explanation : the shape of this graph is similar to the shape of the simplest parabola : f (x x2 . This graph has a vertex (in this particular case vertex is a minimum value of the function , just the same as parabola x2 . This graph opens upward just the same as parabola x2

FORMTEXT Domain : in the graph : [-1 , 5] (in fact domain in the graph is somewhat less

entire function (-

FORMTEXT Range : in the graph : [-1 , 5]

entire function : [-1

b

Given the above graph , 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

FORMTEXT Graph Type : exponential

FORMTEXT Explanation : the shape of this graph is similar to the shape of the exponential functions f (x ax with a 1 . This graph like graph of the exponential functions f (x ax with a 1 is monotone increasing at x increases . This graph , like graph of the exponential functions f (x ax with a 1 shows , that f (0 1

FORMTEXT Domain : in the graph : [-5 , 1]

entire function (-

FORMTEXT Range : in the graph (0 , 6]

entire function (0

c

Given the graph above , identify the graph of the function (line parabola , hyperbola , or exponential ) and explain your choice

FORMTEXT Graph Type : hyperbola

FORMTEXT Explanation : the shape of this graph is similar to the shape of the simplest hyperbola : f (x 1 /x . This graph consists of two parts , both of them are monotone increasing as x increases , like hyperbola f (x 1 /x

What happens to y as x gets larger

to – . If we consider the second branch of this graph (in our particular case at x 1 ) then as x gets larger y gets smaller too . But now as x approaches to ? then y approaches to 0

What happens to x as y gets larger

If we consider the first branch of this graph (x 1 ) then as y gets… [banner_entry_footer]

**Author:** Essay Raptor