Web worksheet by kuta software llc algebra 1b 8.13 piecewise functions name_____ id: (1) given f x x( ) 2 2 and g x x( ) 7 3, find a. − − − + − 5 < 0 { −1.6(x 5) 8, if x 5 − + − ≥ 0. Identify whether or not he graph is a function. X + 5 , x 3 f (x) =.

3) if the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? Use a linear expression ( e ) for straight lines, absolute values if there is a “v” graph. Graph each of the following piecewise functions. You may use your calculators to help you graph, but you must sketch it carefully on.

F(x) = ¯ ® ­ 5 2x [2,6] [ 5,2) if if or f(x) = ,2 6, 5 2 d d d x x 3. Match the piecewise function with its graph. 2) what is the composition of two functions, f ∘ g?

7) x2 4, if x < 1 g(x) = 1, 15 = 5 + 4. Complete the following table of values for the piecewise function over the given domain. 1.3 piecewise functions answer key author: Exercise 1 exercise 2 exercise 3 exercise 4 exercise 5 exercise 6 exercise 7 exercise 8 exercise 9 find the analytical expression of the function.

( )( )f g x e. X —2, ifx 0 when x — the value of fis —3 when x — when x = 1 the value of fis 3 when x = 1. Each piece of the function applies to a different part of its domain.

15 = 5 + 4.

Create your own worksheets like this one with infinite precalculus. Now, summarize your notes here! Web given the graph of , write out the function’s equation. Web 10) write a rule for the function shown.

Web Showing 8 Worksheets For Piecewise Functions And Answers.

Identify any points of discontinuity. ° ­ ® °¯ t 2 1 if 1 2 3 if 1 xx fx xx Web worksheet by kuta software llc algebra 1b 8.13 piecewise functions name_____ id: Web so, the function g(x) 1.6 x 5 8 represents the path of the = − ∣ − ∣ + reference beam.

L Tell If The Function Is Continuous.

Web 1.4 building functions from functions objective: Exercise 1 exercise 2 exercise 3 exercise 4 exercise 5 exercise 6 exercise 7 exercise 8 exercise 9 find the analytical expression of the function. 4x + 2, if x < 0 y(x) = 2x2 4, if x ≥. 5) x3 if x < 0 h(x) = x if x ≥ 0.

Write G(X) 1.6 X 5 8 As A Piecewise Function.

Match the piecewise function with its graph. F(x) = ¯ ® ­ 5 2x [2,6] [ 5,2) if if or f(x) = ,2 6, 5 2 d d d x x 3. F (x) x x , x x , x. 3) x2 if x ≤ 0 g(x) = ex if x > 0.

Web given the graph of , write out the function’s equation. Web piecewise functions worksheet #2 part i. Evaluate the function for the given value of x. = − ∣ − ∣ +. Identify any points of discontinuity, f(x) = if x < 1 if x > 1 name: