Q: What is f(0) = on the graph and f(?) = 0?
A: Graph of f(t) is given.
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: 2. what is the domain of the function)
A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,
Q: how do you determine if a graph is a function or not
A: By the using vertical line test
Q: What is the domain and range of f from the graph above?
A: Consider the given graph.
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: What is a function?
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Q: What is the value of f(-1) in the graph below ?
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Q: Differentiate the function. f(x) = pie 2
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Q: What is the domain and range of the graphed function?
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Q: what is the domain of the function f(×)=(×+1) ?
A: If y=f(x), then the variable x is called the input of the function, and y is called the output of…
Q: Use graphical addition to sketch the graph of f+g.
A: Consider the given graph.
Q: 3. Is the relation xy = 36 a function? Explain why or why not? Draw this relation.
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Q: (3) Create the function which best describes the graph show below. f(x) 8- -7- 6. -5 4- -2- -7 -6 -5…
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Q: Investigate the behavior of the function as n or x grows large by making a table of function values…
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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 graph of a function?
A: A function is that whose graph satisfies the vertical line test. That is, if we draw a 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: Explain how the graph of the function compares to the graph of y = f (x) .
A: y=-12f(x)
Q: Use the vertical line test to determine if the relation shown in the graph below is a function.
A: The given graph is:
Q: 6+ Write the domain of the function using interval notation.
A: Domain:- All possible value of x
Q: What is the domain of the function graphed below?
A: Using the graph we can conclude than the domain of the function is [-5,α]
Q: determine whether the relation is a function.Explain
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Q: 9. What value is the function approaching when the function is getting closer to x = 0? Explain
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Q: Question #1 Not sure how to do this.
A: A function is a relation which describes that there should be only one output for each input. In…
Q: what is the difference between a relation and a function?
A: Relation:Two or more sets can be related to each other by any means.It is denoted by R. For…
Q: In a few sentences explain how would you show a function is discontinuous.
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Q: 2. Is this a graph of a function? Explain your y reasoning. (abr 6. 4
A: Topic:- function
Q: Determine whether the graph represents a function.Explain.
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Q: Determine whether the graph represents a function. Explain.
A: Recall: We know that f is said to be a function if every element in its domain has a unique image.
Q: Considered the graph of Function a.
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Q: Explain the Algebraic Function?
A: The algebraic function is defined as a function that involves only algebraic operations like…
Q: 4. Write a piecewise function for the graph below. to
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Q: Explain the difference between a relation and a function
A: A relation is a set of inputs and outputs that are related in some way.
Q: What is the criteria for a relation to be a function?
A: This question is related to relation and function, we will solve it using given information.
Q: Does the table represent a valid function? Explain why
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Q: 8 Explain why the following graph represents a function. 1
A: Vertical line test Vertical line test is a method which is used to determine the whether a given…
Q: Explain why the function 3. (z) f entise ?
A: 1) Trigonometric function cosz, exponential function ez and polynomial functions are entire. 2)…
Q: How do you determine if a relation is a function?
A: The given data is: How to determine if a relation is a function?
Q: Use the guidelines to sketch the graph of the function. f(x)==-₁
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Q: en the graph of the function f-
A: Given function is: fx=3x2-4x+1x-1 ; if x≠12 ; if x=1 Then we get for x≠1,…
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: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…
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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: determine whether the graph represents a function.Explain.
A: A function is defined as the relation between two variables in which one is dependent on independent…
Q: 7. Explain how the vertical line test proves that a relation is not a function.
A:
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- Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is the graph of y = f(x + 2) decreasing?(b) Over what interval is the graph of y = f(x - 5) decreasing?(c) What can be said about the graph of y = - f(x)?(d) What can be said about the graph of y = f( - x)?An icicle that is 12 mm long melts at a constant rate of 1.2 mm per minute. Let t represent the number of minutes since the icicle started melthing and suppose R is a function such that R(t) represents the remaining length of the icicle (in mm) t minutes after it started melting. A.What is the domain of R−1 relative to this context? Enter your answer as an interval. b.What is the range of R−1 relative to this context? Enter your answer as an interval. c.Solve R(t)=6.6 for t t= d.What does your solution in part (f) represent in this context? Select all that apply. How long it takes for the icicle to melt completely. How many minutes since the icicle started melting when it is 6.6 mm long. The length of the icicle (in mm) 6.6 minutes after it started melting.5) Consider the function y = f(x)= 3x2 + 1 which has slope 12 at x=2 d) Is the graph of y=f(x) concave up (S) or concave down (F) at x = 1? (pick one) concave up or concave down
- In a certain bank account, after 10 months, the amount of money is given by the function S(t) = S0e^10r , where S0 is the initial deposit, and r is the interest rate. When the interest rate is 3%, the amount of money after 10 months is $6,450. When the interest rate is 4.2% the amount of money after 10 months is $7,590. What property of this function guarantees that there is an interest rate between 3% and 4.2% that gives $7,000 in the account?What does the 0 being less than or equal to t which is less than or equal to 8 come into play? or how do I use it? or what do I do with it for this problem? An approximate model for the function is S(t) =2.48t^2 + 5.71t + 84 where 0 </= t </= 8 where S is the sales (in millions of dollars) and t = 0 represents 2000. Complete the table and compare the results with the data in the graph. t 0 1 2 3 4 5 6 7 8 S(t)Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in millions of dollars) is given by the function below. Find the tax rate t that maximizes revenue for the government. (Round your answer to three decimal places.) S(t) = 8 − 21 3sqrt(t)
- Let R = {(n, −n) | n ∈ Z and n ≤ 0} ∪ {(n, n + 1) | n ∈ N}. Is R a function? Justify your answer.Suppose that the function y=f(x) is increasing on the interval (2,4). Over what interval is the graph of y=f(x-6) increasing? a. (8,10) b. (12, 24) c. (-4, -2)The following function is a company's price function, where p is the price (in dollars) at which quantity x (in thousands) will be sold. p = 400e^−0.5x (a) Find the revenue function R(x). [Hint: Revenue is price times quantity, p · x.] (b) Find the quantity and price that will maximize revenues ( round answers to 2 decimal digits) x= ? thousand units and P= $?
- 9. A taxi driver must pay a daily fee of $75 to the cab company and has marginal costs of $0.50 per mile. Find the daily cost function C(x) a. b. Find the average cost function C(x) Find C(50) c. d. Find C(250) Find the horizontal asymptote of C(x), and explain what it means in practical terms e.An electric current can be represented by the function y=2cos(2π(x−0.02)), with time in x seconds. How many times does the current reach a value of 1 on the interval 0<x<5? Group of answer choices 12 6 8 10(c) What is peculiar about the slope of a function before and after a point of inflection as compared with the slope before or after a maximum or minimum point?