PreCalc (2nd Half)

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Calculus - Geometry

user_striner Created by 6 mon ago

Cards in this deck(18)

We note that f(x) approaches L when x approaches a, precisely when f(x) approaches L when x approaches a from the right and from the left. lim f(x) = L x -> a+/-

log10(x), how many times can 10 fit into x value. (Based on the textbook)

a mathematical sentence involving <, >, or = plus < or >. Find the roots in order to solve inequalities.

in step 1, we find possible inputs where the inequality may change its sign (for example at the x-intercepts). In step 2, we check in which of the intervals the given inequality is true, and which are thus part of the solution set. Finally, in step 3, we determine which of the endpoints of the intervals should be included in the solution set.

log b/ log a or ln b/ ln a

log (ab)

log a/ log b

xlog(a) (negative logs end up as a denominator)

f (x) = c * b^x c and b= >0 (postive) b=base

If b > 1, then f(x) approaches +∞ when x approaches +∞, and f(x) approaches 0 when x approaches −∞. If 0 < b < 1, then f(x) approaches 0 when x approaches +∞, and f(x) approaches +∞ when x approaches −∞.

(e^x+e^-x)/2

= 0 =1 =xlne or x

a^c = b (exponential form)

xlog b M

Asymptote at x=0 , intersects x-axis at (1,0)

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PreCalc (2nd Half)

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