Your Name? Math 3 73 Optional Extra Credit 0 This Concept Check will be graded using the 10-point scale described in the syllabus. ' To earn this extra credit, you must show your work clearly and in detail, and you must use techniques from the posted videos. - This must be your own work, and not that of another person or a problem-solving app. 1. At the beginning of the first Professor Leonard video, he talked about calculating the slope of a secont line to estimate the rate of change in a function. Note that here "secant" is not talking about a trigonometric function, but instead is just the name of the line segment joining two points on a function. This slope is often called the Average Rate of Change in a function. The slope of the secant line, [e the Average Rate of Change, between two points (a, u and (b, f(b)) can be found by using the slope formula w. R With that formula in mind, find the Average Rate of Change in the function 1.2 f(x)=cas(: 2x_ 2:.) from a=0 to b= 2. *Hints: Make sure you are in radian model Round your answer to the nearest hundredth (2 decimal places). 2, In the first Professor Leonard video, he demonstrated how to find the limit of a function using a table of values. Use that idea to do each of the following for the function f(x)= cas( xzx 2x-2 alcomP'EtF-'the x 0.9 0.99 0.999 1.001 1.01 1.1 table F(X) *Hint: Make sure you are in radian mode _ @8161 QLAJisYI .JJjjl'LIlt: ODD e tn ) as Quinn 2391 Extra Credit-1.pdf (is?) > 2. In the first Professor Leonard video, he demonstrated how to find the limit of a function using a table of values. 2- Use that idea to do each of the following for the function f(x)=cas (Lg) alcomp'etF-'the x 0.9 0.99 0.999 1 1.001 1.01 1.1 table F(X) *Hint: Make sure you are in radian mode. b) Based on the table, estimate limxolx). 3. in the second Professor Leonard video, he demonstrated how to find the limit of a function by just plugging in the value that x is approaching. When this creates an undefined value, such as having a O in the denominator, Professor Leonard demonstrated techniques for rewriting the function. 2- Use that idea to find limpl cos Chi). *Hints: Make sure you are in radian mode. Factor the expression inside cosine. Round your answer to the nearest hundredth (2 decimal places). 98-75-653 wind: away fMaison was\" employ