Rational functions | math4u.vsb.cz

9000014209

Level:

B

Consider the function \(f(x) = \frac{3x+1} {x-2} \). Find all \(x\) such that \(f(x) > 0\).

\(x\in \left (-\infty ;-\frac{1} {3}\right )\cup (2;\infty )\)

\(x\in \left (-\frac{1} {3};\infty \right )\)

\(x\in (2;3)\)

\(x\in (-\infty ;-3)\cup (2;\infty )\)

9000014210

Level:

B

Consider the function \(f(x) = \frac{2x+1} {x+3} \). Find all \(x\) such that \(f(x) < 0\).

\(x\in \left (-3;-\frac{1} {2}\right )\)

\(x\in (-\infty ;-3)\cup \left (\frac{1} {2};\infty \right )\)

\(x\in (-3;\infty )\)

\(x\in \left (-\infty ;-\frac{1} {2}\right )\)

9100002909

Level:

B

Identify a possible graph of the function \(f(x) = \frac{1} {x+2}\).

9100003203

Level:

B

Identify a possible graph of the function \(f(x) = 1 -\frac{2} {x}\).

9100003204

Level:

B

Identify a possible graph of the function \(f(x) = -2 -\frac{1} {x}\).

9100003205

Level:

B

Identify a possible graph of the function \(f(x) = \frac{1} {x-2}\).

9100003206

Level:

B

Identify a possible graph of the function \(f(x) = \frac{2} {x+1}\).

9100003207

Level:

B

Identify a possible graph of the function \(f(x)= 2 + \frac{1} {x+1}\).

9100003208

Level:

B

Identify a possible graph of the function \(f(x) = 2 - \frac{1} {x-1}\).

9100003209

Level:

B

Identify a possible graph of the function \(f(x) = -2 + \frac{1} {x+1}\).