Domain/range, intercepts, continuity, end behavior… If a stude, This stations activity gives students the opportunity to practice graphing exponential and logarithmic functions, analyze functions to determine various characteristics, and find the inverse of various functions. I have my students highlight key parts, and not fill in, to keep a quick pace going and not waste a lot of time having them write everything down. "End behavior" refers to what happens to a function when x is either a very large positive number or a very large negative number. 1) f (x) = x3 + 10 x2 + 32 x + 34 2) f (x) = ... tl4lh ir3i Bg1h 1trs J urve 2sceLrPvqe 2dq. The Square Root Function f ()xx Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness Symmetry Extrema Asymptotes End Behavior 6. MCC9‐12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. This activity can either be done by the students on TI-Nspire handhelds or this can be teacher directed on the overhead TI-Nspire (or using the computer software). Take a look at the graph of our exponential function from the pennies problem and determine its end behavior. /Width 289 The exponent says that this is a degree-4 polynomial; 4 is even, so the graph will behave roughly like a quadratic; namely, its graph will either be up on both ends or else be down on both ends.Since the sign on the leading coefficient is negative, the graph will be … (a) y 1 = 2 x (b) y 2 = 3 x (i) Which point is common to all four graphs ? Asymptotes Worksheet Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9 Exercise 10 Exercise 11 Solution of exercise 1 Horizontal asymptotes Vertical asymptotes. Also included in: Linear Equations Bundle including a Google Form Escape Room Distance Learning, Also included in: Exponential and Logarithmic Functions MEGA Bundle (Algebra 2 - Unit 7), Also included in: Exponents & Exponentials Unit (Algebra 1 Unit 6), Also included in: Exponential Functions and Equations Unit Membership (Both Printable & Digital), Also included in: Algebra 2 - All Assessments - 3 versions of each. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.. When have you seen exponential growth in a real-world situation? They can see which characteristics don't apply to certain functions. Algebra 1 Unit 5: Comparing Linear, Quadratic, and Exponential Functions Notes 2 Standards MGSE9-12.F.LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions. This activity can either be done by the students on TI-Nspire handhelds or this can be teacher directed on the overhead TI-Nspire (or using the computer software). What are some properties of exponential growth functions? For any positive number a>0, there is a function f : R ! ! Exponential growth. When have you seen exponential growth in a real-world situation? End Behavior. Remember what that tells us about the base of the exponential function? O?� Z?�?ߵ� �[�i$mA#f�k�'��ב�S��Q��=wM��p��PJ.��*r��kZI�9:2���. Students are asked to find the domain, range, increasing/decreasing, define the. 1) f (x) ... tl4lh ir3i Bg1h 1trs J urve 2sceLrPvqe 2dq. �� � w !1AQaq"2�B���� #3R�br� /Length 15091 i) Describe the Domain: i) Describe the Domain: ii) Describe the Range: ii) Describe the Range: Louis bought a new car for $20,000. Each learning target listed below includes 2-3 quizzes. of Exponential Functions Name: 1. 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