transformations of logarithmic functions worksheet pdf
Rating: 4.9 / 5 (2419 votes)
Downloads: 35751
= = = = = CLICK HERE TO DOWNLOAD = = = = =
Feel free to use a graphing calculator to check your answer, but you should be able to look at the function and Worksheet. (—2, 7) If a function is even, then for every point, ©t Q2q0W1qfKSuBt daK jS lo hfst HwIatrIe R vL8LwCB.E q BAhlclR 2r jicgah rtsU dr veSs 7e QrCvmekdT eMbafdIe l pw YiHtqh A RIIn hf hitnki tte s BA6l kg feFbGrcaL z2 D.x Worksheet by Kuta Software LLC Kuta SoftwareInfinite AlgebraName_____ Graphing Logarithms Date_____ Period____ In Example 4(b), notice in the graph that the horizontal translation also shifted the asymptoteunits left, so the domain of g is x >−. This is an extra source for revising the Identifying Properties and Transformations of Functions Example: If the point (2, 7) is on the EVEN functionlx), another point. In one study, scientists found that the relationship between the number, F, of flower species that a butterfly feeds on and the number, B, of butterflies observed can be modeled by the function Write a rule for gLet the graph of g be a refl ection in the y-axis, followed by a translationunits left of the graph of f (x) log x. b. So, the graph of g is a refl ection in the y-axis and a horizontal stretch by a factor ofof the graph of f. An logarithmic function shifted horizontally to the rightunit and shifted vertically downunits. Notice that the function is of the form. These transformations should be performed in the same manner as those applied to any other function. The following problems will help you in your study about Exponential and Logarithmic Functions and their Applications. = Sec Transformations on Exp/Log Functions Transformation f(x) Notation Example Vertical Translation f x k() yx, shiftsunits up yx logshiftsunits down Horizontal Translation f x h() y 2x 2, shiftsunits right yx log(1), shiftsunit left Vertical Stretch/Compression a f x yx, y is stretched bylogyx Practice Worksheet: Graphing Logarithmic Functions Without a calculator, match each function with its graphTransformations An logarithmic function shifted horizontally to the leftunits and shifted vertically downunits. (1) log= y (2) log= y (3) log= y (4) log Let the graph of g be a horizontal stretch by a factor of 3, followed by a translationunits up of the graph of f (x) e− x. An logarithmic function shifted horizontally to the leftunits, shifted vertically upunits, and reflected over the 𝑥-axis ExampleUse Transformations of an Exponential Function to Model a Situation There is a logarithmic relationship between butterflies and flowers. ExampleTranslations of a Logarithmic Graph the following functions without using technology. ExampleFind an equation for the logarithmic function Vanier College Sec V Mathematics Department of Mathematics Worksheet: Logarithmic FunctionFind the value of y. g(x) = h 4 Sketch a graph of the function f x () = − 3log(x − 2) +Transformations of Logs Any transformed logarithmic function can be written in the form f x a x b k() log()= − +, or f x a x b k() log= − − +()() if horizontally reflected, where x = b is the vertical asymptote. ExampleFind Worksheet– Logarithmic Functions (§) Convert. reciprocal and square root functions, the logarithm has a restricted domain which must be considered when finding the domain of a composition involving a log. (e) (f) 1/2(8) = −(49) = Transformations of Exponential and Logarithmic Functions EXAMPLEWriting a Transformed Exponential Function Let the graph of g be a refl ection in the x-axis, Worksheet by Kuta Software LLC AlgebraHW Function Transformations Name_____ Date_____ Period____ ©v R2E0E1o8r JKGuQtha^ MSwoXfptdw[ahrteH Logarithmic Functions Transformations of Logarithmic Functions YOU WILL NEED ¥ graphing calculator If there is no value of a in a logarithmic function the base yx log(1), shiftsunit left Vertical Stretch/Compression a f x yx, y is stretched bylogyx, y is compressed by 1/2 Reflection across x-axis fx() y 2x, flips over x-axis yx graph of y x= log c. the 5(following) =equations fromlogarithmic form into exponential form. Write a rule for g.
留言列表
