T(X) The graph of a function f and its tangent line at 0 are shown. What is the value of lim x-0 e 4x The xy-coordinate plane is given. There is a curve and a line on the graph. • The curve labelegy = f(x) enters the window in the secondcuadrapt, goes down and right, crosses the negative x-axis, changes directiop in the third quadrant, goes up and rightrdsses the ytaxis at the originteuching the line , changes tion in the first quadrant, gogs down and right, and exits the vindovwst above the x-axis. The lihe x enters the window in the third gdadrant goes up and right, crosses the f-axis at the brigin touching the curve labeled y = f(x), and exits the window in the first quadrant.

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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: