Is there a function whose graph doesn’t have a tangent at some point? Explain by giving an example and solution.

Q: What is the function of the graph?

A: Check where the graph meets x axis that will be the zeroes of f Then check where it meets y axis to…

Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

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Q: Make a function that violates Clairault's Theorem. Explain why it does. Show how you got it.

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Q: State the domain of the function whose graph is shown. Assume line are extended indefinitely.

A: The given problem is to find the domain of the given function in graph. We have to formulate the…

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: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: The graph below is of a function f(æ) with domain (-∞, 0). It consists of three lines.

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Q: What is a function?

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Q: What is an even function? How can you tell that a function is even by looking at its graph? Give an…

A: Even function:  A function is even when the condition for all value of x. if the graph sees, the…

Q: A circular disk radius r is cut out from a square of cardboard. Express the area of wasted material…

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Q: I get how to solve it but having a problem looking at the function on the graph. Can you show me how…

A: Given information: The polynomial is f(x)=2x3+5x2-11x+4. Calculation: Use the rational root theorem.…

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: What must be done to a function’s equation so that its graph is shrunk horizontally? Explain.

A: Given that a function has to be shrunk horizontally.

Q: Does the graph of a circle constitute a function? Please describe using the definition of the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: An object is projected upward from ground level with an initial velocity of 500 feet per second. In…

A: velocity is the rate of change of position over time is velocity, calculated by dividing distance by…

Q: Give an example to explore numerically how a function behaves near a particular point at which we…

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be…

Q: Express the area of a circle as a function of its radius. Find the domain.

A: We have to express the area of a circle as a function of its radius.

Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?

A: What must be done to a function’s equation so that its graph is reflected about the x-axis?

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: NOTE: Refresh your page if you can't see any equations. .

Q: How can we write a formula for this function?

A: The given function is a pair of two lines which are joined continuously. We will find the formula of…

Q: What is a function, in your own words? Give an example to back up your points.

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Q: Explain how you would approximate the slope of the tangent at a point without using first…

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Q: What must be done to a function’s equation so that its graph is stretched vertically? Explain.

A: Suppose that the function is say y = f(x) . To find what must be done to a function's so that its…

Q: How can looking at the graph of a function help you tell where the function is continuous?

A: For the graph of function to be continuous, it needs to be smooth without any holes, jumps, or…

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: Give troo methods for graphing a function with three independent variables.

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Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: Describe how to find the slope of the tangent line to the graph of a function at a point.

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Q: Can every curve in the coordinate plane be the graph of a function? Why?

A: Question- Can every curve in the coordinate plane be the graph of a function ? why? Answer- A…

Q: Can two level curves of a function intersect? Explain.

A: From the definition, two level curves of a function can't intersect. One level curve is given as…

Q: How to distinguish an Even function from an Odd function and the relationship between them.

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Q: What are the even Functions and Odd Functions?

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Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: Describe how to tell when a function is discontinuous at thereal number x = a.

A: There are three conditions that need to be satisfied by a function f(x) in order to be continuous at…

Q: What is the function of the graph in the image?

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Q: Based on the table that I did. Which quantity would be my independent variable? And which quantity…

A: Given, Number of mechanical pencils used per month 4 3 2 5 6 2 3 2 2 The total cost of…

Q: A right triangle has one leg twice as long as the other. Find a function that models its perimeter P…

A: To find the function that models its perimeter P in terms of the length x of the shorter leg.

Q: f(x) X+T

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Q: The function f is linear. Can f be an odd function? Explain how you know

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Q: Graph the function defined by Ax) - Fx+ 1.

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Q: (1 point) Match the function with one of the graphs below. A B.

A: the graph of function is given below.

Q: Sketch the graph of the function over the indicated interval plot two exact points. y = 2tan( 7x-),…

A: to sketch the graph of the function

Q: Is it possible for two different level curves of a function to intersect?Explain.

A: Query- Is it possible for two different level curves of a function to intersect and explain. Answer-…

Q: I need help finding the rate of change of a function

A: To explain the concept and technique to calculate the rate of change of a given function

Q: I need help finding the solutions to this function

A: we have to find the solutions to the given equation.

Q: The original and restricted functions are not the same functions.True or false?

A: Given, 'The original and restricted functions are not the same functions.

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: What must be done to a function’s equation so that its graph is shifted horizontally to the right?

A: If c is positive,y=fx+c shifts the graph of f to the left c units and y=fx-c shifts the graph of f…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: