# Calculus: Graphical, Numerical, Algebraic, 3rd Edition Answers Ch 1 Prerequisites for Calculus Ex 1.5

## Calculus: Graphical, Numerical, Algebraic, 3rd Edition Answers Ch 1 Prerequisites for Calculus Ex 1.5

Chapter 1 Prerequisites for Calculus Exercise 1.5 1E
The given function is
y = 2|x|
and the graph ot the given function is shown below,

We can find out whether a given function is one-to-one or not one-to-one, by drawing a set of horizontal lines on its graph.
If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
For this problem the answer is NO, the given function is not one-to-one because it one was to draw horizontal lines on this graph, they will intersect the graph at two points.

Chapter 1 Prerequisites for Calculus Exercise 1.5 1QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 2E
The given function is
y = x + 1
And the graph of the given function is shown below,

We can find out whether a given function is one-to-one or not by drawing a set of horizontal lines on its graph.
If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
YES, the given function is one-to-one because if one was to draw horizontal lines on this graph, none of them will intersect the graph at more than one point.

Chapter 1 Prerequisites for Calculus Exercise 1.5 2QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 3E
The given function is
y = 1/x
and the graph of the given function is shown below,

We can find out whether a given function is one-to-one or not by drawing a set of horizontal lines on its graph.
If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
For this problem the answer is YES, the given function is one-to-one because if one was to draw horizontal lines on this graph, none of them will intersect the graph at more than one point.(as shown in the above figure)
NOTE:
In the above figure the graph of the given function seems to be touching the X-axis, but it never touches the X-axis, so we can confirm that, there is no parallel line intersects the given function at more than one point.

Chapter 1 Prerequisites for Calculus Exercise 1.5 3QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 4E

We can find out whether a given function is one-to-one or not by drawing a set of horizontal lines on its graph.
If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
For this problem the answer is No, the given function is not one-to-one because if one was to draw horizontal lines on this graph, they will intersect the graph at two points.

Chapter 1 Prerequisites for Calculus Exercise 1.5 4QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 5E

We can find out whether a given function is one-to-one or not by drawing a set of horizontal lines on its graph.
If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
For this problem the answer is YES, the given function is one-to-one because if one was to draw horizontal lines on this graph, none of them will intersect the graph at more than one point.

Chapter 1 Prerequisites for Calculus Exercise 1.5 5QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 6E
The given function is
y = int x
The graph of the given function is shown below,

We can find out whether a given function is one-to-one or not by drawing a set of horizontal lines on its graph.
If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
For this problem answer is No, the given function is not one-to-one because if one was to draw horizontal lines on this graph, they will intersect the graph at more than one point.
(as shown in the above graph).

Chapter 1 Prerequisites for Calculus Exercise 1.5 6QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 7E

The given function is one-to-one because if one was to draw horizontal lines on this graph, none of them will intersect the graph at more than one point.
Hence we can say that the given function has an inverse function.

Chapter 1 Prerequisites for Calculus Exercise 1.5 7QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 8E

The given function is not one-to-one because if one was to draw horizontal lines on this graph, they will intersect the graph at two points.
Hence we can say that the given function does not have an inverse function.

Chapter 1 Prerequisites for Calculus Exercise 1.5 8QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 9E

The given function is not one-to-one because if one was to draw horizontal lines on this graph, they will intersect the graph at two points.
Hence we can say that the given function does not have an inverse function.

Chapter 1 Prerequisites for Calculus Exercise 1.5 9QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 10E

The given function is one-to-one because if one was to draw horizontal lines on this graph, none of them will intersect the graph at more than one point.
Hence we can say that the given function has an inverse function.

Chapter 1 Prerequisites for Calculus Exercise 1.5 10QR

Chapter 1 Prerequisites for Calculus Exercise 1.5 11E

The given function is not one-to-one because if one was to draw horizontal lines on this graph, they will intersect the graph at two points.
Hence we can say that the given function does not have an inverse function.

Chapter 1 Prerequisites for Calculus Exercise 1.5 12E

Chapter 1 Prerequisites for Calculus Exercise 1.5 13E

Chapter 1 Prerequisites for Calculus Exercise 1.5 14E

Chapter 1 Prerequisites for Calculus Exercise 1.5 15E

Chapter 1 Prerequisites for Calculus Exercise 1.5 16E

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Chapter 1 Prerequisites for Calculus Exercise 1.5 19E

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Chapter 1 Prerequisites for Calculus Exercise 1.5 21E

Chapter 1 Prerequisites for Calculus Exercise 1.5 22E

Chapter 1 Prerequisites for Calculus Exercise 1.5 23E

Chapter 1 Prerequisites for Calculus Exercise 1.5 24E

Chapter 1 Prerequisites for Calculus Exercise 1.5 25E

Chapter 1 Prerequisites for Calculus Exercise 1.5 26E

Chapter 1 Prerequisites for Calculus Exercise 1.5 27E

Chapter 1 Prerequisites for Calculus Exercise 1.5 28E

Chapter 1 Prerequisites for Calculus Exercise 1.5 29E

Chapter 1 Prerequisites for Calculus Exercise 1.5 30E

Chapter 1 Prerequisites for Calculus Exercise 1.5 31E

Chapter 1 Prerequisites for Calculus Exercise 1.5 32E

Chapter 1 Prerequisites for Calculus Exercise 1.5 33E

Chapter 1 Prerequisites for Calculus Exercise 1.5 34E

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Chapter 1 Prerequisites for Calculus Exercise 1.5 37E

Chapter 1 Prerequisites for Calculus Exercise 1.5 38E

Chapter 1 Prerequisites for Calculus Exercise 1.5 39E

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Chapter 1 Prerequisites for Calculus Exercise 1.5 41E

Chapter 1 Prerequisites for Calculus Exercise 1.5 42E

Chapter 1 Prerequisites for Calculus Exercise 1.5 43E

Chapter 1 Prerequisites for Calculus Exercise 1.5 44E

Chapter 1 Prerequisites for Calculus Exercise 1.5 45E

Chapter 1 Prerequisites for Calculus Exercise 1.5 46E

Chapter 1 Prerequisites for Calculus Exercise 1.5 47E

Chapter 1 Prerequisites for Calculus Exercise 1.5 48E

Chapter 1 Prerequisites for Calculus Exercise 1.5 49E

Chapter 1 Prerequisites for Calculus Exercise 1.5 50E

Chapter 1 Prerequisites for Calculus Exercise 1.5 51E

Chapter 1 Prerequisites for Calculus Exercise 1.5 52E
We can find out whether a given function is one-to-one or not by drawing a set of horizontal lines on its graph.
The given graph is shown below

If any horizontal line intersects the graph at more than one point, then the given function will not be one-to-one.
No, the given function is not one-to-one because if one was to draw horizontal lines on this graph, they will intersect the graph at two points or more at some points.
Hence the given statement is FALSE.

Chapter 1 Prerequisites for Calculus Exercise 1.5 53E

Chapter 1 Prerequisites for Calculus Exercise 1.5 54E

Chapter 1 Prerequisites for Calculus Exercise 1.5 55E

Chapter 1 Prerequisites for Calculus Exercise 1.5 56E

Chapter 1 Prerequisites for Calculus Exercise 1.5 57E

Chapter 1 Prerequisites for Calculus Exercise 1.5 58E

Chapter 1 Prerequisites for Calculus Exercise 1.5 59E

Chapter 1 Prerequisites for Calculus Exercise 1.5 60E

Chapter 1 Prerequisites for Calculus Exercise 1.5 61E

Chapter 1 Prerequisites for Calculus Exercise 1.5 62E