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

Calculus: Graphical, Numerical, Algebraic Answers

**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**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 17E**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 18E**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 19E**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 20E**

**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**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 35E**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 36E**

**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**

**Chapter 1 Prerequisites for Calculus Exercise 1.5 40E**

**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**