Consider the graph of the function y = f ( x ) = a x 2 + b x + c , a 0 . a. Write an equation whose solution yields the x-intercepts. b. Write an equation whose solution is the y-intercept. c. Write (if possible) a condition under which the graph of y = f ( x ) has no x -intercepts. d. Write (if possible) a condition under which the graph of y = f ( x ) has no y -intercepts.
Consider the graph of the function y = f ( x ) = a x 2 + b x + c , a 0 . a. Write an equation whose solution yields the x-intercepts. b. Write an equation whose solution is the y-intercept. c. Write (if possible) a condition under which the graph of y = f ( x ) has no x -intercepts. d. Write (if possible) a condition under which the graph of y = f ( x ) has no y -intercepts.
Solution Summary: The author explains how to simplify the given equation to deduce the x-intercepts graphical equation analysis.
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.