In exercises 1-6, estimate the slope (as in example 1.1) of y = f(x) at x = a. upobs onul & inli 920qqu2 1. f(x) = x² + 1, izog (a) a = 1 (b) a = 2

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

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Q: a) Find 2 x-intercepts of the function f (x) = a² + 6x . The x-intercepts are and (write smaller…

A: a) The x-intercepts of a function is the points where the graph crosses x-axis . The values of y…

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A: Given, a function f(x) and g(x)=-x+1.

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Q: If  f(a)=b,  then which point is on the graph of   f(x)? 1. (f(a),f(b)) 2. (a, b)(a,b) 3.…

A: Given : f(a) = b

Q: Suppose that f () = 8200 and f (8) = 2600. (a) Write the linear function f, and (b) find the value…

A: Given  f12=8200f8=2600

Q: A simple curve that often makes a good model for the variable costs of a company, as a function of…

A: Given : a curve that makes a good model for the variable costs of the company and has the form -…

Q: Determine the domain and range of 1.) f-¹(x) = x-1/2 2.) f-¹(x) = x-4

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Q: 1. Without graphing, classify each function below as linear, quadratic or exponential. a) y= 3x + 7…

A: We need to classify the following equations as linear, quadratic or exponential. a) y=3x+7 b) y=0.2x…

Q: Given that f(x) = x² + 1, g(x) = the domain of each function in Exercises 21-29. Then find an…

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

Q: Suppose f is a linear function and that f (2)=7 and f (5)=7.1.  Then the slope of is postive   true…

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Q: The amount ( in billions of dollars) held in private pension funds can be approximated by the…

A: Given,           The amount ( in billions of dollars) held in private pension funds can be…

Q: Differentiate. 4) f(x) = e2x

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

Q: Determine the equation of the line tagent to the function f(x)=x(5-x)4 at x=3

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Q: 22. Given the function f(x) = -2x²-16x-29, a) find the slope of the line tangent to the function at…

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Q: In Exercises 1–6, use Eq. (1), to estimate Aƒ = ƒ(3.02) — ƒ(3) 1. f(x) = x² 2. f(x) = xª

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Q: Q1) By using transformations of mother functions, sketch the following curves and determine the…

A: We will find out the required values.

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: 5. A bouncy ball bounces to of % of its height when dropped on a hard surface. Suppose the ball is…

A: The ball is dropped from a height of 45mIt bounces to  of the height

Q: 1. If g(x) is the f(x) = x after a vertical compression by = a shift right by 2, and a shift down by…

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Q: 12) Consider the graph of a function y = f(x). What x-value corresponds to y = - 4. -2 -4-2 0 246 a)…

A: The solution is given below

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Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: 7. Consider the functions f(x) = 2x² - 7x + 4 and g(x) = -7x + 5. a) Find f(-1). b) When does g(x) =…

A: Function is f(x)= 2x2-7x + 4 .............(i) We've to find the Value of f(-1) Put the Value of x=…

Q: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

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Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

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Q: In Exercises 41 – 46, confirm your results with a graphing utility. 41. For the function f(x)= x³ +…

A: We have to solve