Linear functions with absolute values
7400100065
Submitted by vladimir.arzt on Wed, 08/28/2024 - 12:03Graphs of Linear Functions with Absolute Values III
Submitted by michaela.bailova on Thu, 07/25/2024 - 18:57Extreme Values of Linear Functions with Absolute Value II
Submitted by vladimir.arzt on Thu, 05/23/2024 - 18:38Graphs of Linear Functions with Absolute Values II
Submitted by vladimir.arzt on Fri, 03/08/2024 - 10:012100021008
Level:
A
Which of the graphs is the graph of the following function?
\[f(x)=|x+2|+|2x+1|-|x-3|;\quad x\in[-4;1]\]
2000021007
Level:
B
Which of the following functions is an odd function?
\(f(x)=|x-1|-|x+1|\)
\(g(x)=|x-1|+|x+1|\)
\(h(x)=-|x-1|-|x+1|\)
\(k(x)=|1-x|+|x-1|\)
2000021006
Level:
B
Which of the following functions is an even function?
\(f(x)=|1-x|+|x+1|\)
\(g(x)=|1-x|-|x+1|\)
\(h(x)=|1+x|+|x+1|\)
\(k(x)=|1-x|+|x-1|\)
2000021005
Level:
B
Which of the given statements about the domain \(D(f)\) of the function \(f(x)=3|x+2|-|x-1|\) is true?
\(D(f)=\mathbb{R}\)
\(D(f)=[-3;\infty)\)
\(D(f)=[ -2;1]\)
\(D(f)=\mathbb{R}\setminus \left\{-2;1\right\} \)
2000021004
Level:
B
Which of the given statements about the range \(H(f)\) of the function \(f(x)=|2-x|+|1+x|-2\) is true?
\(H(f)=[1;\infty)\)
\(H(f)=\mathbb{R}\)
\(H(f)=[-1;2]\)
\(H(f)=[-1;\infty)\)