Determining Whether an Equation Is a FunctionDetermine whether the equation x2 + y2 = 1 defines y as a function of x.

Q: True or false: y = ±√(x2 - 1) defines y as a function of x._______

A: All function which have y = f(x) form are defined as a function of x.

Q: Determining Whether an Equation Is a Function Determine if the equation x? + y? = 1 defines y as a…

A: The equation is tested using vertical line test to find the equation is a function…

Q: Test Scoresa. Is the average score on the final exam in a coursea function of the average score on a…

A: The table with values is given

Q: An open box is made from a square piece of cardboard 24 inches on a side by cutting identical…

A: Given: The length of each side of cardboard is 24 in. The identical squares of sides of length x in.…

Q: Function Not a Function

A: we have to check whether the given figure is function or not . Please check definition of function…

Q: Extent of the Function %3D

A:

Q: A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of…

A: Given c=gp where c is the price of oranges and p is the percentage of the citrus crop that was…

Q: Testing for Functions RepresentedAlgebraically In Exercises 71–74, determine whetherthe equation…

A: To determine whether the equation represents y as a function of x. 71. Given equation is 16x-y4=0.…

Q: function. 2. Determine if the equation x-3y =1 is a function.

A: An equation is said to define a function if for a particular value of x, there exists only one value…

Q: The gas mileage of a car (in miles per gallon) is highest when the car is going about 45 miles per…

A: Here given that gas mileage of car is highest when the speed of the car is 45 miles per hour and the…

Q: Use the Vertical Line Test to determine whether y is a function of x. x = |y|

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Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

A: Please refer the attached image for complete solution.

Q: A car moving at a constant speed passed a timing device at t=0. After 9 ​seconds, the car has…

A: Solution: We know that distance = rate × t Given that a car moving at a constant speed passed a…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative e y = 64 x2 + 64 intercept…

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Q: 2. Describe what happens to the equation of a function if you make each change to its graph. a)…

A: 2.a). Replace y with -y coordinate or vice-versa.

Q: Is a vertical line a function

A: Vertical line test of a function gives that if a vertical line is drawn through the graph and it…

Q: Use the vertical line test to determine if y is a function of x in the graph. Choose the correct…

A: Vertical Line test: If the vertical line parallel to the y-axis passes through the curve only once,…

Q: A linear function f(7) = -17. The slope of f is -3, what is f(2) ?

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Q: Water is being drained from a reservoir. After 2 minutes, the height of water in the reservoir is…

A: We have to find

Q: Use the vertical line test to determine if y is a function of x in the graph. Choose the correct…

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Q: Determine whether the equation defines y as a function of x. x° +y° = 8 %3D Choose the correct…

A:

Q: An open box is made from a square piece of cardboard 30 inches on a side by cutting identical…

A:

Q: An observer views the space shuttle from a distance of x = 3 mi from the launch pad. x mi (a)…

A: We know, tan(θ) = h/x

Q: True or false: y = x2 - 1 defines y as a function of x._______

A:

Q: Determine whether the equation defines y as a function of x. x° +y° = 8 .3 Choose the correct answer…

A: Solve the equation

Q: Determine whether Y varies directly with X. If so find the constant of variation or write the…

A: Here at x=11, y=22. So, y=2(11)=2x Now, at x=16, y=32. So, y=2(16)=2x And, at x=7, y=42 So,…

Q: SELF-ASSESSMENT 1. Find the equation of the tangent and normal lines of the function f(x)=(x*-1) at…

A: Given points are doesn't satisfied function in both parts,so check statement is wrong? I have…

Q: We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which…

A: topic - functions

Q: A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 125 feet of…

A: Total fencing available is 125 feet.

Q: A A train that takes passengers from downtown back home to the suburbs makes 5 stops. The maximum…

A: Sketch the graph of speed versus time from the given data.

Q: Determine whether the function is differentiable, continuous, both, or neither at the value where…

A:

Q: A company has been hired to clear a quantity of contaminated soil from a site. The table shows the…

A: From the given table we have coordinates (n,R)=(0, 45000) and (24, 33720) A line joining those…

Q: Determine whether the equation defines y as a function of x. x² + (y – 4)² = 3 The equation defines…

A: Topic = Functions

Q: Iinear function or a non-linearfunction. Linear Non-Linear 4. 8 10 2 4 6. 8. y. 10 14 18 22 10 14 18…

A: Please refer to the image below

Q: Linear function or Not a function

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Q: State whether the function is increasing, decreasing, or neither.(a) Surface area of a sphere as a…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Price & Demand In economic theory, we let represent the number of items (called demand) a supplier…

A: x represent  the demand  and  p represent price of item

Q: QI/ Find the domain and the range of the function: (x, y) = 1

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Q: A function multiplies the input by 2 then adds 1 to obtain the output. 1) Write an equation that…

A: Given data: 1) The expression for the given function is, y=2x+1   Thus, the given function is…

Q: Measuring the speed of sound in the ocean is an important part of marine research. One application…

A: Given: Speed of the sound at the surface = 1534 m/s increase in speed per km of depth = 20m/s S =…

Q: Determining Whether an Equation Is a FunctionDetermine whether the equation y = 2x - 5 defines y as…

A: To determine whether the equation y=2x-5 defined y as a function of x. Solution: We know that a…

Q: Determine whether the equation defines y as a function of x.   y2=3x   y is a function of x   y is…

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Q: Jse the Vertical Line Test to determine whether O Yes, the curve is a function of x. O No, the curve…

A: Here we have to use the vertical line test to determine whether the curve is a function or not.

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A: The level curve have an standard equation c=f(x, y)  put the  point. And find c then equate this…

Q: 5. A bicycle courier has a fixed delivery cost of $12.00 per day, plus a cost of $0.25/package. He…

A: (a) (i) Let p be the number of packages delivered.  The fixed delivery cost is $12 per day…

Q: Classify the graph of the functions as linear and non-linear. DRAG & DROP THE ANSWER Linear function…

A: We have to classify the given graphs of the functions as linear or non-linear.

Q: I want to fence in a square vegetable patch. The fencing for the east and west sides costs $6 per…

A: Given Cost of fencing in east and west = $6 per foot Cost of fencing in north and south = $4 per…

Q: Tree Height Vine Height The height y (in feet) of the vine after x years is represented by the…

A:

Q: Find the points where functionin the picture intersects the x and y axes.

A: Given function  fx =xx2-9 to know the points where function intersect at x and y both axis we have…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.