Consider the function 12 + 2x +1 x² + 1 a) Show that the domain of this function is a e R. b) Find the points where the function y = f(x) intersects the r-axis and the y-axis.

Q: Sketch the graph of f.

A: The function fx=ex2

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: Locate the absolute extrema of the function f(x)=-2r+ 12x+ 3 on the closed interval [-6, 6].

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Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: 5. Use the equation to classify the function as odd, even, or neither. g(x) = 4x3- x %3D

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Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the domain of the function.

A: Given:              g(x)=7−3x

Q: Consider the function f(æ) = 2a + 242? 120x + 5, - 10 < x < 3. %3D This function has an absolute…

A:

Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: Consider the function: f(x) = 3x2 + 12x – 180 %3D - The y-intercept is at y The x-intercepts are at…

A: Given function is : f(x) = 3x2 + 12x - 180 Let, y = f(x) = 3x2 + 12x -180 To determine the…

Q: Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

A: Given function is fx=15x-34. To find the domain of the function. Solution: We have function…

Q: Find the domain and b) Sketch the domain of f(x, y)= In(4x² – y) -5 -2 -1 3 4 5 x

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Q: 3x-x - Show that the function y= 1+x? odd or even.

A:

Q: Determine the image of the function - 12x + 27 - f(x) = x2 – 4x + 5 - for all æ E R. Solve the…

A: Given: f(x)=x2-12x+27x2-4x+5  for all x∈ℝTo determine the images of f(x)i.e, range set of f(x)

Q: . Determine the values of a, b, and c such that the function f(x)=x²+ax² +bx+c has a y-intercep of 1…

A: Solving question

Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: Q2// A :- find and sketch the Domain of f(x, y)=v(x-4)+y' -9 + V4-x²-y° 2

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Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x&lt;y and x2+y2≤4

Q: Q1// B :-find and sketch the Domain of f(x,y)=v(x-4)+y -9 + 4-x-y

A: Let's find.

Q: Find and sketch the domain for the function

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Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: We have to find Absolute Maximum in the interval [-1,4] by Second Derivative Test.

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: For the function: f(x) = 31 + 3z2. %3D (a) identify the end behavior of the graph, (b) additional…

A: We have to find the nature of the given function then sketch the graph

Q: Sketch the domain of the function.  f (x, y) = 12x − 5y

A: Sketch the domain of the function.  f (x, y) = 12x − 5y

Q: 19

A:

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: 3. Find the domain of g(x) = v16-x² and h(x) = Vx² – 16. Express your answer using interval…

A:

Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: The domain of the function f(x)= sech-1(21 - ) is [380, A), Then The value of k = The value of A =

A: Given function is f(x)=sech-121-xk Since sech-1x=ln1+1-x2x here, 1+1-x2x≥1 ⇒ either x≥0or x≤1

Q: 6. For the function in vertex form, f(x) = 2(x+ 3)² – 5, change to the equivalent standard form by…

A: in multiple question we are allowed to answer only first one .

Q: Find a rule for the 6-degree function, f(x), shown in the graph. Reminder: consider the zeros and…

A: Zeros are: -1, 3, 4   The x-intercept x=4 is the solution to the equation (x-4)=0. The graph passes…

Q: What is the maximum value of f(x) = x³ - 3x² - 1 on the interval [-3, 2]? A) -1 в) 5 C) 0 D) 2

A:

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: Let f(x)= 56-2) (x+1 What is the domain? b find all x-intercepts OFind y-intercept if it exists?

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Q: (a) By sketching the graph of the function f(x) = x³ + x² – 1, show that the equation f (x) = 0 has…

A: The root of the equation is 0.755 Also it is evident that it is lying between 0 and 1

Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a

Q: find c such that f(x)=-0.2x2-3x+c has a maximum value of -224. what is the value of c

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Q: Determine whether the equation defines y as a function of x. 22. Зх — 5у %3D7 23. Зх2 -

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

Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: Consider the function f(x)=2x^2−2 for x≥0. What is the domain of f−1(x)?  answer in interval…

A: Domain set of all input values where f defined Range set of all output values

Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

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Q: 10. Find the domain of the function. a) f(x) = V49 – x2

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Q: use algebra to find the point at which the line g(x)=2/3x+11/3 intersects f(x)=4/3x+2

A: The given functions are as follows.

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: Consider the function . f(x)=x2-8x+12   a). Determine the vertex.   b).Determine the direction of…

A: We find vertex by using completing square method

Q: Consider the function f(x) = 2x + 18x? – 42x + 9, - 7< x < 2. This function has an absolute minimum…

A:

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.