1103034603
Level:
B
Given graphs of the functions \( f(x)=x^2-6x+8\) and \( g(x)=-2x+4 \), find the solution set of the following inequality.
\[ x^2-6x+8\geq-2x+4 \]
\( \mathbb{R} \)
\( (-\infty;2]\cup[4;\infty) \)
\( \{2\} \)
\( [2;4] \)
Quadratic functions
1103034604
Level:
B
Given graphs of the functions \( f(x)=-2x^2+5x+3\) and \( g(x)=2x+1 \), find the solution set of the following inequality.
\[ -2x^2+5x+3 < 2x+1 \]
\( (-\infty;-0.5)\cup(2;\infty) \)
\( (-0.5;2) \)
\( (-\infty;-0.5)\cup(3;\infty) \)
\( (-0.5;3) \)
1103034605
Level:
B
Given graphs of the functions \( f(x)=x^2+2x-3\) and \( g(x)=-x^2+3x-4 \), find the solution set of the following inequality.
\[ x^2+2x-3\leq-x^2+3x-4 \]
\( \emptyset \)
\( \mathbb{R} \)
\( (-\infty;0] \)
\( [-3;1] \)
1103034606
Level:
B
Given graphs of the functions \( f(x)=x^2-4x\) and \( g(x)=4x^2-16x+12 \), find the solution set of the following inequality.
\[ 4x^2-16x+12\leq x^2-4x \]
\( \{2\} \)
\( \mathbb{R} \)
\( \{-4\} \)
\( [1;3] \)
1103034701
Level:
B
Given graphs of the functions \( f(x)=2x^2-2x-4 \) and \( g(x)=2x+2 \), find the solution set of the following equation.
\[ 2x^2-2x-4=2x+2 \]
\( \{-1;3\} \)
\( \{-1;2\} \)
\( \{0;8\} \)
\( \{-4;0\} \)
1103034702
Level:
B
Given graphs of the functions \( f(x)=x^2-4x \) and \( g(x)=4x^2-16x+12 \), find the solution set of the following equation.
\[ 4x^2-16x+12=x^2-4x \]
\( \{2\} \)
\( \{-4\} \)
\( \{0;4\} \)
\( \{0\} \)
1103034703
Level:
B
Given the graph of the function \( f(x)=2x^2-2x-4 \) and the points \( A \), \( B \), \( C \), \( D \), \( E \), find the solution set of the following equation.
\[ 2x^2-2x-4=1 \]
\( \{a;e\} \)
\( \{b;d\} \)
\( \{c;e\} \)
\( \{ c \} \)
1103034704
Level:
B
Given graphs of the functions \( f(x)=-x^2+4\) and \( g(x)=x+2 \), find the solution set of the following equation.
\[ -x^2+4=x+2 \]
\( \{-2;1\} \)
\( \{0;3\} \)
\( \{-2;2\} \)
\( \{0;4\} \)
1103034705
Level:
B
Given graphs of the functions \( f(x)=-x^2-x+6 \) and \( g(x)=x^2-4x+4 \), find the solution set of the following equation.
\[ x^2-4x+4 = -x^2-x+6 \]
\( \{-0.5;2\} \)
\( \{2\} \)
\( \{-3;2\} \)
\( \{0;6.25\} \)
1103034706
Level:
B
Given graphs of the functions \( f(x)=-x^2-x+6 \) and \( g(x)=x^2-4x+4 \), find the solution set of the following equation.
\[ -x^2-x+6=0 \]
\( \{-3;2\} \)
\( \{-0.5;2\} \)
\( \{2\} \)
\( \{0;6.25\} \)