For the piecewise linear function, find (a) f( – 3), (b) f( – 2), (c) f(0), (d) f(2), and (e) f(5). 3x f(x) = if xs - 2 X- 4 if x> -2

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: The cost and revenue functions for a certain firm are given by  C(x) = 15x + 36,000  and  R(x) =…

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Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

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Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

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Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: If f (x) is a linear function, f (1) = 0, and f (2) = 1, what is f (3)?

A: fx is a linear function such that f1=0 & f2=1

Q: Suppose that f is a linear function with slope -4 and that f(1) = 7. Find the equation for f. (Use x…

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Q: For the graph of the linear function f(x) = mx + b, m is the  _____ and b is the _______ .

A: For the graph of the linear function fx=mx+b, m is the  _____ and b is the _____.

Q: find a formula for the linear function f(x) that satisfies f(5)=7 and f(0)=-3

A: Given information:f(5)=7 and f(0)=-3

Q: For the linear function f(x) = mx +b, f(- 6) = 19, and f(3) = 1. Find m and b. ..... m =

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Q: For the function f(x)=2x^{2}+4x-1f(x)=2x2+4x−1, find the slope of the secant line between x=-1x=−1…

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Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

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Q: Let f and g be linear functions with equations f(x) = m1x + b1 and  g(x ) = m2x +b2. Is f ° g also a…

A: The given linear functions are fx=m1x+b1    and  gx=m2x+b2. This implies that,…

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

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Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

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Q: . Write a rule for a linear function y = h(x), given that h(1) = 6 and h(-3) = 2.

A: Our Aim is to write a rule for a linear function y=h(x), given thath(1)=6 and h(-3)=2

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Suppose f is a linear function such that f(3) = 9 and f(8) = 5.0. What is the slope m of f?

A: Given query is to find the slope of the function.

Q: Suppose that f is a linear function such that f(2) = 4 and f(6) = 24. What is the slope m of f? m =

A: Given: f is a linear function such that f(2)=4 and f(6)

Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Find the linear function with f(1)= 3 and slope 6. Select one: O a. f (x) = 4x + 6 O b. f(x) = 6x -…

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Q: The function of two variables f(x.y)=(y-2) x^2-y^2 has:

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Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

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Q: (d) Differentiate the implicit function below. y 3 + y = 2x2 +4

A: dy3+ydx=d2x2+4dx dy3dx+dydx≡d(2x2)dx+d(4)dx 3y2dydx+dydx=4x.

Q: • If y is a linear function of x, then the coefficient of x is the slope of the line created by…

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Q: 3- Show that the function y = x3 + 3x + 3 satisfy the y" + xy" 2y 0

A: Function does not satisfy the given inequality. See the attachment

Q: Given the function P(x) = (x – 3)´(x – 8) Its y-intercept is | (3,0)

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Q: Find the linearzation L(x) of f(x)= \sqrt(5x+16) at a=0

A: Given Fx=5x+16 at a=0The objective is to find the linearzatin Lx ofFx=5x+16 at a=0find the…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: For the linear function f(x)= -2x-2. Describe the line slat

A: The given linear function is: fx=-2x-2

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

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Q: Find the linear function that matches the table of values below. y -2 -1 -1 -4 1 -7 O f(x) = - 3x -…

A: To find the correct option

Q: Suppose f is a linear function such that f(3) = 6 and f(9) = 1.2. What is the slope of f?

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Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: of the function. + 3y + 11

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: Given a function f (x, y) = /4 + 2x – 4y – x² – y².

A: The given function is:fx, y=4+2x-4y-x2-y2

Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: The linear function f(x) = ax + b is a constant function if?

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Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

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Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

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: Find the linear function with the following properties. f(−5)=−1 Slope of f=−4

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Q: Find constants cq and c2 such that the function y(x) cje + c2e° satisfies y(0) = 1, and y' (0) =…

A: The values of constants c1 and c2 of the giben general solution of differential equation satifying…

Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: