Name the different forms of linear equations you learned. If (1, 2) and(3, 4) lie on the same line, give the slope-intercept equation of the line.2Explain how to find the inverse of f(x) = (x-1)/42What is average rate of change? How do you calculate it? What can you tell about the average rate of change for linear functions? Compare the slopes of horizontal and vertical lines.3/4Compare the processes of graphing linear equations and inequalities with examples of your own.3/4Create a real-life scenario in which you show how you interpret key features of functions and graphs such as slope and y-intercept?Module 21What is the definition of “i”? What do we use it for? Demonstrate with an example of your own.2Why are radicals simplified before adding and subtracting? Explain your reasoning by adding sqrt8 and sqrt32. Compare the process to multiplying and dividing.2Give an example of an expression with a rational exponent and explain how to convert it into radical form.3/4A good practice in mathematics is to always check your work. Explain why it is very important to do so when you are solving equations that involve radical expressions?Where in real life do you work with radical expressions and functions? Give an example of your own.Module 3Webbs DOKDiscussion Prompt1How many different ways can you solve a quadratic equation? List them.2Create a trinomial that can be factored and write it in standard form.2Factor x^2 – 7x + 10, 4x^2 – 81 and p(x)=3x^3-12x3/4What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are added to the parent quadratic equations? Compare the translations to the graph of linear function. Create examples of your own to explain the differences and similarities.3/4A ball is kicked into the air and follows the path described byh(t)= -4.9t^2+6t+0.6, where t is the time in seconds and h is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters?
Answer:The solution to this exercise has been attached below. The problem has been solved in this way:________________1. Different forms of linear equations. Point slope-intercept equation of the line that passes through two points.2. Inverse Function. 3. Average Rate of Change.4. Comparison of linear equations and inequalities5. Real-life problems6. Imaginary Number7. Radicals8. Rational exponent and radical form9. Radical expressions10. Quadratic equation11. Trinomial12. Factoring expressions13. Quadratic and linear graph14. A problem of height