Write the restrictions that should be imposed on the variable for each of the following function. Then find, explicitly, the domain for each function. Write the answer using interval notation. a) f (x ) = 2x2 -x+1 x -5 b ) g ( p ) = 1 4 - 2p Q4. Average rate of change The average rate of change of a function f from x, to X2 is (*2)-f(x1). Given the function f (x) = -8x + 5, determine the average rate of change from x = -1 to x = 5 *2 - x1 Q5. Graphing a Piecewise Function about the isaxis and Graph the function f (x) = 3x + 1 for x S 1 1-2 for x > 1 //BNBagel are also worth in the graphs of the Q6. Graphs of Basic Functions (https://goo.gl/DKFxvy) Match each graph with the name of the function: A. Constant function B. Identity function C. Square function D. Cube function E. Square root function F. Reciprocal function G. Absolute Value function H. Cube root functionQ7. Vertical and horizontal translations (https://goo.gl/KD7PGW ; Reflections about the x-axis and the y-axis (https://goo.gl/fhRb91) Vertical and horizontal stretch and compression (https://goo.gl/qFHDCC). The videos on this youtube channel (https://goo.gl/BNBq8p) are also worth exploring. Explain the difference between the transformations that must be used to obtain the graphs of the following pairs of functions a) f(x) - 5 and f (x - 5) b) 2f (x) and f (2x) c) f (-x) and -f (x)Q8. Assume that (-3,5) is a point on the graph of f (x). What is the corresponding point on the graph of each of the following functions? a) y = f(-x) b) y = 2f (x) c) y = f(x-3) d)y = f(x)-3 ely = f(3x) fly =-f -am Pre-class 1 (week 1)- Sec.2.2,2.4, x por Pre-class 1 (week 1)- Sec.2.2,2.4, x + X C File | C:/Users/ginge/Downloads/Pre-class%201%20(week%201)-%20Sec.2.2,2.4,%202.5%20(Fall6202021)%20(2).pdf Not syncing PRE-CLASS ASSIGNMENT Sections 2.2, 2.4, 2.5 Name: Print and complete this assignment. This assignment must be submitted on Canvas. Late submissions will not be accepted. It is essential you do this assignment so you can participate and understand the in-class group activities. You can use your textbook, internet, LAs, teamwork, etc.; however, copying another student's work will be considered cheating and dealt with accordingly. Q1. Function Notation Video (https://goo.gl/386iYM) Suppose we define a function Blue as follows Blue (s) = 2s +3. Steven is asked to find Blue (s+h). He writes Blue (s+h) = 2s + 3 + h. His work is incorrect. For this problem Steven is asked to find the output of the function Blue when the input is What is the correct work Steven should show to find Blue (s+h) Q2. Simplifying Difference Quotient Video (https://youtu.be/TD1iAON2KLM) We will be studying the average rate of change of a function this week. A ratio called the difference quotient plays an important role in understanding the rate at which functions change. h The expression )2for h # 0 is called the difference quotient of the function. Apply the definition of the difference quotient to the function Blue and help Steven evaluate it. Type here to search O W 6:56 PM 2 89F 6061) 8/25/2021am Pre-class 1 (week 1)- Sec.2.2,2.4, x por Pre-class 1 (week 1)- Sec.2.2,2.4, x + X C O File | C:/Users/ginge/Downloads/Pre-class%201%20(week%201)-%20Sec.2.2,2.4,%202.5%20(Fall%202021)%20(2).pdf Not syncing What is the correct work Steven should show to find Blue (s+h) Q2. Simplifying Difference Quotient Video (https://youtu.be/TD1iAON2KLM) We will be studying the average rate of change of a function this week. A ratio called the difference quotient plays an important role in understanding the rate at which functions change. The expression for h # 0 is called the difference quotient of the function. Apply the definition of the difference quotient to the function Blue and help Steven evaluate it. Q3. Domain of a Function Video (https://goo.gl/hFLSg6); Domain of functions that contain even index radicals Video (https://goo.gl/sFWSfN): Domain of Functions with Variable in Denominator Video (https://goo.gl/BkSJqU); Domain of function with two restrictions Video (https://goo.gl/keuv2s) Recall the domain of a function: If a function f does not model data or verbal conditions, its domain is the largest set of real numbers for which the value of f(x) is a real number. Exclude from a functions domain real 6:56 PM Type here to search O 2 G W 89 F 60(1) 8/25/2021