you would write: Where the arrow just means “approaches.” The general way of writing the notation, without reference to any specific function, is: What the formula is basically telling you is that you plug in some number “a” into the function, and you get out some number L, the lim...
So by definition, nonlinear functions produce graphs that aren’t a straight line. Linear function (red) and two nonlinear functions: exponential (blue) and polynomial (green). Graph created with Desmos.com. Nonlinear Function vs. Linear Function: Steps In order to figure out if your function ...
Write the equation for a sine graph that coincides with the graph y=\cos\left(5x-\dfrac{\pi}{6}\right). Whirred an equation of the form y = a \sin (b x) \text{ or } y = a \cos (b x) to describe the graph below. Sketch t...
basically a number per unit time. We can visualize it as the slope of the a(t) curve. A common notation for the derivative is simply to put a prime or apostrophe on the function: a'(t). And the next step is the fractional change in a(t) per unit time. a'(t)/a...
Keep a log of these problematic questions where you write down: #1: the gist of the question #2: why you missed it, and #3: what you'll do to avoid that mistake in the future. Have separate sections by subject and sub-topic (algebra—solving equations, data analysis—experimental interp...