The limit represents the derivative of some function f at some number a. State such an f and a. 16 + h - 2 lim h-0

Q: A and B are points on the graphs of functions y1 and y2, respec-tively. Find the corresponding point…

A: Given information: y=y1+y2 A and B are points on the graphs of functions y1 and y2 A=π,-0.5B=π,-1

Q: A tax rate schedule is given in the table. If x equals taxable income and y equals the tax due,…

A: A tax rate schedule is given in the table, If taxable income is over But not over The tax is this…

Q: Find a function that satisfies the given conditions and sketch its graph. lim h(x) = -8, lim h(x)=8,…

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Q: Which of the following is NOT a function? * O {(1,2).(-4,6),(2,8),(-7,-5),(-2,9),(3,-7),(-5,0)} y =…

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Q: determine where f is increasing. f (x) = x4

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Q: Find the point on the graph of f(x)=(x+1)2 that is closest to the point (-5, 1). Round to three…

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Q: Use translations to graph the given function. 9) a(x) = /x - 2 - 1

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Q: Which statement below is true? O If a function is not differentiable then it must be discontinuous…

A: Statement 1 is true, Let f be the function which is continuous then  1) f(x) is defined 2)limx→af(x)…

Q: 1. Sketch a function that has a horizontal tangent line for all values of x. Explain how you arrived…

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

Q: A. 1. Sketch the graph of the following functions: a. f(x) = 2*

A: In the given question, the concept of the graph is applied. Graph The graph of a function is the…

Q: Which of the following shows the interval where the function is decreasing

A: The intervals in which the function is decreasing is observed from the given graph.

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Identify each expression that represents the slope of a tangent to the curvey-:+1 at any point (,…

A: Consider the given curve. y=fx=1x+1 We have to find the slope of given curve at any point Px, y…

Q: Which of the following statements is TRUE? (Circle ALL that apply) a. A constant function has no…

A: answer is D a polynomial function is always differentiable. this is the property of simple function…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: