Explain why if a horizontal line intersects the graph of a function in more than one point, then the function is not one-to-one.

Q: Does the graph represent a function? of True False

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Q: Choose the graph that depicts a one-to-one function.

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Q: Use the vertical line test to determine whether or not the graph is a graph of a function.

A: Given that: Graph of a function.

Q: What are the rules for shifting, stretching, compressing, and reflecting the graph of a function?

A: To shift c units right, f(x) becomes f(x-c) To shift c units left, f(x) becomes f(x+c)   To stretch…

Q: Explain how the vertical line test is used to determine whether a graph represents a function ?

A: For function we know that it is should be one-one or on to for one-one at one value of x .It is…

Q: Select the statement which is true about the function.

A: graph is symmetric about y axis area and shape both side of y axis is same answer is function has…

Q: how do you determine if a graph is a function or not

A: By the using vertical line test

Q: Try to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Given graph :

Q: True or False The graph of a function y = f1x2 alwayscrosses the y-axis.

A: Given : Statement : The graph of a function y=f(x) always crosses the y-axis. Determine the given…

Q: Why should the definitions of increasing and decreasing functions must be satisfied by every pair of…

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Q: Can a function also be pictured as an arrow diagram?

A: Yes, a function can be pictured as an arrow diagram. To picture a function as an arrow diagram the…

Q: How to determine whether the point lies on the graph of the function.

A: The method to decide whether the given locus passes through the given point

Q: Determine both the domain and the range of the function.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: What is meant by the domain and range of a function?

A: The domain is the set of all input values for which given function is well defined.

Q: Please find is it a graph of function that increase or decrease ? And why ?

A: The given graph of function,

Q: What is the graph of a real-valued function of a real variable?

A: What is the graph of a real-valued function of a real variable.

Q: Can the graph of a one-to-one function intersect a horizontal line more thanonce? Explain.

A: A one-to-one function f(x) is defined as, Thus, we can infer from the above definition of a…

Q: Determine the equation of the function that is graphed.

A: Given graph is :   To find the equation of the given graph.

Q: Is this graph a function?

A: We have given a graph, we have to check whether the given graph is a function or not.   We will use…

Q: I used vertical lines to determine if my graph represents a  one-to-one function.Determine whether…

A: To check whether the function is one-to-one or not, we perform horizontal line test (Not a vertical…

Q: What is the domain and range of the graphed function?

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Q: Describe the end behavior of the graph of the function f(x)=5(4)x−4.

A: The given function is fx=54x-4=20x-4. It is a linear function which is part from the family of…

Q: What does it mean to be a "function"? How can you determine function ality of a relation set or…

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Q: 17. Explain in your own words why the vertical line testdetermines whether a graph is a function

A: For a relation to be a function, every x must have a unique image in y. Vertical line test draws a…

Q: 18. Explain in your own words why the horizontal line testdetermines whether a function is…

A: A function is said to be one-to-one if each domain value is mapped to exactly one element in range…

Q: What is the domain and range of the piecewise function, and what are the x-intercepts and…

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Q: graph the function

A: We have given a function : y=log2x+5-5 First we have to plot the four points in the given set of…

Q: Determine whether the graph is that of a function.

A: Known fact: A curve on the xy-plane is said to be the graph of a function if any vertical line…

Q: How can you tell from the graph of a function whetherit is one-to-one?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: What is the domain and range of the function?

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Q: Sketch a graph of the function by first making a table of values. r(x) = 3x4

A: Consider the given function. rx=3x4 x -3 -2 -1 0 1 2 3 rx=3x4 243 48 3 0 3 48 234

Q: Describe what is the relationship between differentiability and continuity of a function.

A: To explain: The relationship between differentiability and continuity of a function. Explanation:…

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−10. As x→−∞, f(x)→  = ?   As…

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Q: Which ordered pairs should be removed to make the graph a function?

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Q: Determine whether the graph is the graph of a function.

A: By looking at the given graph we can clearly see that graph is of the parabola.   This parabola is…

Q: Which set of ordered pairs does not represent a function?

A: Given data: A relation is said to be a function when the single value of x in set A  gives the…

Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: Explain how the vertical line test is used to determine whether a graph represents a function.

A: Explain how the vertical line test is used to determine whether a graph represent a function.

Q: how can you use a graph to dertermine that a relationship is not a function?]

A: Given that the graph to determine that the relationship is not function.

Q: What's the difference between alinear function, a non-linear function and non-linear and not a…

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Q: What is the graph of the function f(x) = 2x - 1?

A: Given f(x) = 2x - 1

Q: For the function whose graph is given, state the value of each quantity, if it exists. If it does…

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONLY THREE SUBPARTS IN ONE SESSION SO, I HAVE ANSWERED FIRST THREE…

Q: Does the table represent a valid function? Explain why

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Q: Determine the missing coordinates of the points on the graph of the function.

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Q: Explain why the horizontal-line test can be used to identify one-to-one functions from a graph.

A: Given, the horizontal-line test can be used to identify one-to-one functions from a graph.

Q: Explain in your own words what a function is. How is a function different from a relation?

A: A function is a relation between two sets that associates to each element of the first set exactly…

Q: What is the graph of a real-valued function of a real variable? What is the vertical line test?

A: The graph of a real-valued function is a line, straight or curve which shows the variation of one…

Q: Explain how the graph also represents a linear piecewise function.

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…