c) fx) =x² + 3x + 2

Q: If f(x, y) = 64 - 8x2 - y2 , find fx(-4, –1) and fy(-4, -1) and interpret these numbers as slopes.

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Q: what is the axis of symmetry of y=2(x+9)2

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Q: Find the domain and range for (x – 3)2 +)(y – 3)² = 9 %3D |

A: Domain & Range .

Q: Find the point of the line -2x+5y-2=0 which is closest to the point (-4,0).  The answer is?

A: To find the point of the line -2x+5y-2=0 which is closest to the point -4,0

Q: f (x) = x3 – 9x² + 15x – 24 [1,4]

A: Given: The function fx=x3-9x2+15x-24 and the interval 1,4, To determine: The extreme of the given…

Q: Find the distance between the points a 1 - 2 (−1) and b Distance = -4 -4 3

A: This question can be solved using the concept of distance formula.

Q: Find the slope intercept form  xintercept =3 and y interceopt = -2

A: First you will find the intercept form of the straight line and then proceed to find the slope…

Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

Q: What is the method for writing zeros and x-intercepts? O both are written as an ordered pair, (x,…

A: To be described -  Method of writing zeros and x intercepts

Q: Find the concavity and point of inflection of y= x 2/ 3 + x2

A:

Q: What is the x intercept or 0's of -x^2+4x+3?

A: Given equation : - x2 + 4x + 3 Zeroes of given equation. - x2 + 4x + 3 = 0 Multiply by (-1)  x2  -…

Q: Give the range of * y = 2x +12x +5? 3D2X

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Q: Find the domain and range Vx+1 1- y = 7 х-1 2 - y

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Q: Given the function y=x3-3x2+4x+5, determine the coordinates of the point of inflection

A: We have to find

Q: What is the equation of the line parallel to the line x-4y 5 and passes through the point (7,2)? %3D…

A:

Q: What is the y-intercept of y= csc x

A:

Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

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Q: What is the range and domain of y=x^2

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Q: FinD the asymplehes of the Cerve +y) (x+24+2) = X+94-2. 2,

A:

Q: Given the function f(x) = 2x 19x+ 10x + 175, and knowing one factor is (a - 7), write f(a) as a…

A: our objective is to find the f(x)

Q: Find the domain and range of: ( 1) y = (2)y = 9 – x2 x²-1

A:

Q: Describe the domain of the functiong(x,y) =√50−2x2−2y2

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Q: What is Range v(x+5)-2?

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Q: Determine the slope 3(x2+y2)2=100xy at the point (3,1)

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Q: Find the point at which the line ƒ(æ) = 2x intersects the line g(x) = 4x + 12

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Q: Find the range of y = 2 + V9 + x. %3D

A:

Q: Graph and label 2 points for eac 53.) f(x) =2 (x+2 if x< if x20 %3D

A: The given function is f(x)=x+2if x&lt;02x≥0   To graph: The given function f(x) and label any two…

Q: Enter an equation for the line of symmetry for the functionf (x) = 3x2 + 18x-7. %3D

A: Solution-  Given function f(x) = 3x2+18x-7 We can write this  y = 3x2+18x-7 first we compare this…

Q: If (2, 0) are the coordinates of an x-intercept of  y = f(x),  then what are the coordinates of an…

A: Given,(2, 0) is the x-intercept y = f(x)The transformation y = f(x-4) describes horizontal shifting…

Q: at the point P(x, y) = (-4.5, –16.73), determine the values of 0, and 0,.

A: In the given diagram below,   We have to determine θ1  and θ2 . In ∆OPB   Using Pythagoras…

Q: Find a point ( is 2x +

A: The equation of a line parallel to the line 2x + y = 3 will be: x-2y=k .................. (1) where…

Q: what is the vertical assumption of x2-2x-3?

A: We have given,

Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: find the domain and range of (x-2)+(y+1)=9

A:

Q: Find the point on the line y = 2x that is closest to the point (5, 2).

A:

Q: Find the point on X-axis which is equidistant from (2,-5) and (-

A:

Q: Evaluate y' at the point (2,2) 5x3y - 2x2 = 72

A: The given equation is 5x3y-2x2=72. Rewrite the above equation as follows:…

Q: What is the domain of y=v(x+2)-5? [-5, 0) O (2, ) O 1-2, )

A:

Q: Let f(x)=(x-2)(+6). What are the coordinates of the vertex?

A: As we know general form of a quadratic equation is given by ax^2 +bx+c.

Q: Find the value of for which 2,y 2. 3

A: Find the value of x, y for which -10212x1y=-1213 Multiply the matrices in the left and side of the…

Q: The point on the line y= 2x+3 that is closest to the point (4,2) is (a,b). Then 5b – 20a= O a. 2 O…

A:

Q: Plot the point where 0 Clear All Draw: ←6

A:

Q: Determine the domain and range of y=1/x2-1

A: It is given that y=1x2-1 and we have to find the range and domain of the given function. For Domain…

Q: The point that is equidistant from the points (-2,0) and (5,7)

A: our objective is to find the points

Q: Determine an ordered pair (x;y) which satisfies the equation. (2q+x)2 = 4q² + 12q + y

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Q: The points of inflection of y= xª – 12x³ + 48x² – 64x occurs at

A:

Q: Find the slope of the graph of y = 2x2 +1 at the point (2, 3). %3D

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.