# Algebra word problems and graphing

1. Several problems on graphs of parabola, rectangular hyperbola and straight lines.

2. Many word problems.

3. Problems on Coordinate geometry.

#### Solution Preview

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1)

a)

Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), and give the domain and range as shown in the graph.

Graph Type This is a parabola

Explanation of why you chose that graph type:

This graph is of the shape of a parabola, which opens up. General form of a parabola which opens up is (x+c)^2 = 4a (y+d) where c, d and a are constants.

Domain (-α , +α)

Range [2, +α)

b)

Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain in your works, and why you chose that graph type.

Graph Type Exponential function

Explanation of why you chose that graph type:

It looks like the graph of ex. However, as x reaches - α, y approaches the value of -1. Hence this graph is of the form y = -1 + ex

Domain (-α , +α)

Range [-1 , +α)

c)

Notice the impact of y being undefined at x = 0. The graph gets infinitely close to the y axis (where x=0) but never touches it since y is undefined for an x of 0.

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

#### Solution Summary

This is an 8-page word document containing the solution to several questions on graphs of . This solution contains the steps to solve many word problems in algebra as well. Some questions involves the plotting of graphs. Each question is answered in detail with each and every step clearly shown.