To find: A simple function for the given expression and prove that both are the same function.
The simple function for the given expression is
Given information:
The given expression is
Formula used:
The
Calculation:
The simple function of the given expression that has same graph can be determined using the function’s graph.
Draw the graph of the expression
Figure (1)
From the obtained graph, it can be observed that the graph of given expression is the same as the graph of
Therefore, the simple function for the given expression is
Simplify the given expression using the trigonometric identity,
It can be verified that the simple function for the given expression is
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =arrow_forward6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2 -3 -4 -5 The graph above is a transformation of the function f(x) = |x| Write an equation for the function graphed above g(x) =arrow_forwardThe graph of y x² is shown on the grid. Graph y = = (x+3)² – 1. +10+ 69 8 7 5 4 9 432 6. 7 8 9 10 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 -6- Clear All Draw:arrow_forward
- Sketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All Draw:arrow_forward5. Find the arc length of the curve y = 3x³/2 from x = 0 to x = 4.arrow_forward-6 -5 * 10 8 6 4 2 -2 -1 -2 1 2 3 4 5 6 -6 -8 -10- The function graphed above is: Concave up on the interval(s) Concave down on the interval(s) There is an inflection point at:arrow_forward
- 6 5 4 3 2 1 -6 -5 -3 -2 3 -1 -2 -3 -4 -5 The graph above is a transformation of the function x² Write an equation for the function graphed above g(x) =arrow_forward6 5 4 3 2 1 -1 -1 -2 -3 -4 A -5 -6- The graph above shows the function f(x). The graph below shows g(x). 6 5 4 3 2 1 3 -1 -2 -3 -4 -5 -6 | g(x) is a transformation of f(x) where g(x) = Af(Bx) where: A = B =arrow_forward5+ 4 3 2 1. -B -2 -1 1 4 5 -1 -2 -3 -4 -5 Complete an equation for the function graphed above y =arrow_forward
- 60 फं + 2 T 2 -2 -3 2 4 5 6 The graph above shows the function f(x). The graph below shows g(x). फ 3 -1 -2 2 g(x) is a transformation of f(x) where g(x) = Af(Bx) where: A = B =arrow_forwardLet f(x) = 4√√ If g(x) is the graph of f(x) shifted up 6 units and right 3 units, write a formula for g(x) g(x)=arrow_forwardSketch a graph of f(x) = −2|x − 3| +2 5 4 3 2 1 -5 -4 -3-2 -1 -1 -2 -3 -4 -5+ Clear All Draw: -2 3 4arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning