.For the linear function f(x) = -4x + 3, (a) Find the slope and y-intercept. (b) What is the average rate of change of f? (c) Determine whether f is increasing, decreasing, or constant. (d) Graph f.

Q: Given the function f(x) = x³ - 3x2 x – 1, determine all coordinate points (x, y) on the graph of f…

A: The derivative of the function will give the value of slope. For two value of x, f(x) will have…

Q: 3) approximate the slope of the graph of f (z) = r at the point (1, 1). y 4 3 (1, 1) 2. 4 3 2.

A: The slope of a graph tells that by how much the value of y changes when the value of x changes by 1…

Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: Q4) Determine slope of a curve y = x* +1 at x = 1

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Q: Consider the graph of the function f (x) = -|x| + 2 to the left. What is the slope of the secant…

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Q: Find the slope of the following curve at x=5 y=1/x-3

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Q: What is the instantaneous slope of Y -5 at X = 5? o 1 O -1

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Q: In the above graph of y = f( x ), find the slope of the secant line through the points (-1, f( -1) )…

A: Given co-ordinate of secant line are p-1,f-1 and Q 1,f1  from graph f-1=-2                      f…

Q: Suppose that f is a linear function with slope -3.2 and that f (3) = 6. What value of x gives f(x) =…

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Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

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Q: Find the equation of the line tangent to the graph of the function at the indicated point…

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Q: Use the graph below to determine that slope of the secant line on f(x) from x-1 to x-3. 5 4 3 2 y =…

A: use the graph for finding the slope of the secant line.

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 20) f(x)…

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Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: Given the function g(x) =- + 6x + 12, determine the average rate of change of the function over the…

A: Giveng(x)= -x2+6x+12    and -3≤x≤5

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2…

A: Consider the graph of a function

Q: Find the slope of the graph of the function at the given point.

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Q: In the above graph of y=f(x), find the slope of the secant line through the points (−4,f(−4)) and…

A: Slope of the  line passing through (x1,y1)  and (x2,y2) is (m)=∆y/∆x= y2-y1/x2-x1

Q: What is the slope of the function? f(x) = x² +xy – y² = 5 at (1,1)? A. 3/2 B. No slope C. -3/2

A: we have to find the slope of the function . Given : f(x) =x2+xy-y2=5 at (1,1).

Q: C)Find the instantaneous slope of F(x)=xsquare-2x at x =1 over 3

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Q: Suppose f(x) = (x² + 1) · g(x), where g(æ) = mx + b. Find the slope, m, of g if f(0) = 3 and f' (1)…

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Q: Let f be the linear function f(x) = -3x + 7. (a) The rate of change of f is (b) The graph of f is a…

A: Objective is to fine the rate of change , slope and y-intercept Intercept.

Q: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

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Q: Given the function g(x) = -x² + 4x + 9, determine the average rate of change of the function over…

A: See the details solution in the details

Q: Given the function f(x) = -x² – 7x + 19, determine the average rate of change of the function over…

A: Given function is: fx=-x2-7x+19 And the given interval is: -9≤x≤3 At x=-9:…

Q: Let f(x) = x³ – 2x +1 and g(x) =ƒl (x). What is the slope of the curve g(x) = f (x)at the point (-2,…

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Q: f'(x) represents the slope of the secant line at any point on the graph of the function.

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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: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

A: f(x) = −6x + 7 We need a) what is The rate of change of f(x)? b)what is The graph of f and slope and…

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Given the function g(x) = -x² + 6x + 11, determine the average rate of change of the function over…

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Q: Let f (x) = x³ – 2x + 1 and g (x) = f=1 (x). 3 What is the slope of the curve g(x) = f-l (x)at the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: Let f be the linear function  f(x) = −2x + 6. (a) The rate of change of f is _____ . (b) The graph…

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Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 + 2x…

A: Given : y = x4+2x3+2x-2

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: . Let f be the linear function f(x) = -5x + 7. (a) The rate of change of f is (b) The graph of f is…

A: Let f be the linear function f(x)=-5x+7 (a) The rate of change of f is  ..........  (b) The graph of…

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

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Q: find all the values of x at which the curve has a slope of -1. f(x) = 5 +x -3x^2

A: Given function, fx=5+x-3x2 And slope = - 1 i. e. f'x=-1

Q: W) = 3 = 1, x2= 3

A: Given: f(x)=43x-1; x1=1, x2=3

Q: Given the function f(x) =-2x +3x-7, calculate the average rate of change on the interval [1, 1+h].

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Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Let f (x) = Vx. Find the slope m and the point-slope equation of the line tangent to the graph of f…

A: Consider the given function fx=x Suppose m be the slope of the line tangent to the graph of the…

Q: The cost C(x), where X is the number of miles driven, of renting a car for a day is $20 plus $1.00…

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Q: Given the function g(x) = -x2 – 3x +5, determine the average rate of change of the function over the…

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