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1. Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
2. How many x-intercepts can a function have? Give a specific example and state the rule that backs up your answer.
3. Explain how the vertical line test works to prove if a graph is a function or not. Research and explain what the horizontal line test is used to prove for functions.
4. A classmate tells you that every quadratic function of the form f(x) = ax2 + bx + c has a domain of all real numbers. Do you agree? Explain.
5. Suppose that f is a function. Given, f(a) = f(b). Does this imply a = b? Prove with a specific example.
solve the characteristic equation above for the roots m1 and m2. hint you may need to solve by factoring or by using
Find the intercepts of the graph of the equation- Y= (x2-4) / (X2-9). The intercepts are______(type ordered pair,usingintergers or fractions). Analyze the graph of the function R(x) = (x+9) / (x(x+18)). What is the domain of R(x)?
Solve the given equation algebraicallyl.
Find the intercepts for the graph of the equation given. Find the intercepts and then use them to graph the equation. 3x+y=6.
Find examples that support or refute your classmates' answers to the discussion question. Provide additional similarities and differences between functions and linear equations. Challenge your classmates by providing more intricate examples of non..
Tomorrow is going to be a hot one. Right now the temperature is 87 degrees and it will fluctuate at least 11 degrees by 3pm. What is the range of possible temperatures it could be at 3 pm.
what are the 3 methods to graph a line? choose 1 of the methods and describe how to graph a line using an example
Make the fractions of the LCM of the denominators.
find the future value of an annuity of payments made at the beggining of each month for 5 years in an
Find a matrix B which reduce the given matrix A to the diagonal form by the transformation B^(-1)AB.
Determine the nature of the solutions of the equation. Find and label the vertex and the line of symmetry. Graph the function F(x) = -(1/3)x2.
Plot the first seven values of the step response. Is the response increasing or decreasing with time? Is this what you would expect, and why?
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