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
