Precalculus with Limits © 2014, 2011, 2007 Brooks/Cole, Cengage LearningĪLL RIGHTS RESERVED. Inverse Sine Function Inverse Cosine Function Inverse Tangent Functionį共x兲 ⫽ arcsin x f共x兲 ⫽ arccos x f共x兲 ⫽ arctan x Vy-einrttiecracle apsty: m共0p, t1o兲tes: x-intercepts: 冢2 ⫹ n, 0冣 Y f(x) = csc x = sin x y f(x) = sec x = cos x y f(x) = cot x = tan xĭomain: all x n Domain: all x ⫹n Domain: all x n Y-intercept: 共0, 0兲 x-intercepts: 冢2 ⫹ n, 0冣 x-intercepts: 共n, 0兲Ĭosecant Function Secant Function Cotangent Function Sine Function Cosine Function Tangent Functionĭomain: 共⫺⬁, ⬁兲 Domain: 共⫺⬁, ⬁兲 Domain: all x ⫹ n Horizontal asymptote: x-axis Horizontal asymptote: x-axis in the line y ⫽ x Vertical asymptote: y-axis for f 共x兲 ⫽ a⫺x Reflection of graph of f 共x兲 ⫽ ax Origin symmetry Decreasing on 共⫺⬁, ⬁兲 Continuous Odd function for f 共x兲 ⫽ ax Vertical asymptote: y-axis No intercepts Intercept: 共0, 1兲 Intercept: 共1, 0兲ĭecreasing on 共⫺⬁, 0兲 and 共 0, ⬁兲 Increasing on 共⫺⬁, ⬁兲 Increasing on 共0, ⬁兲 Rational (Reciprocal) Function Exponential Function Logarithmic Functionį共x兲 ⫽ 1 2 f 共x兲 ⫽ ax, a > 1 f共x兲 ⫽ loga x, a > 1ĭomain: 共⫺⬁, 0兲 傼 共0, ⬁) Domain: 共⫺⬁, ⬁兲 Domain: 共0, ⬁兲 Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Editorial review hasĭeemed that any suppressed content does not materially affect the overall learning experience. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). May not be copied, scanned, or duplicated, in whole or in part. Jumps vertically one unit at Increasing on 共⫺⬁, 0兲 for a 0兲,Ĭopyright 2012 Cengage Learning. X-intercepts: in the interval 关0, 1兲 Range 共a 0 Odd functionĬonsecutive integers Increasing on 共0, ⬁兲 for a > 0 Origin symmetry Linear Function Absolute Value Function Square Root Function
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