Rational functions
7400200039
Submitted by vladimir.arzt on Thu, 05/23/2024 - 14:38Monotonicity of Rational Functions
Submitted by vladimir.arzt on Thu, 05/23/2024 - 14:317400100039
Submitted by vladimir.arzt on Wed, 05/22/2024 - 17:00Rational Function and Its Asymptotes
Submitted by vladimir.arzt on Sat, 03/16/2024 - 14:25Ranges of Rational Functions
Submitted by vladimir.arzt on Fri, 03/15/2024 - 16:022000018804
Level:
A
Given the function \(f(x) = -\frac{4}
{x}\),
find the function \(g\) such
that the graphs of \(f\)
and \(g\) are symmetric
about the \(y\)-axis.
\(g(x) = \frac{4}
{x}\)
\(g(x) =4
{x}\)
\(g(x) = -\frac{4}
{x}\)
\(g(x) = -{4}
{x}\)
2000018805
Level:
A
The test driver drove from Ostrava to Warsaw at an average speed of \(66\, \mathrm{km}/\mathrm{h}\) and the journey took him \(6\) hours. After him, the same route took several other drivers. (Each driver took a different driving time.) Choose the function giving the average speed \(v\) of each of these drivers as a function of the total driving time \(t\) from Ostrava to Warsaw.
\( v=\frac{396}t,\ \ t\in(0;\infty) \)
\( v=\frac{66}t,\ \ t\in(0;\infty) \)
\( v=66 t,\ \ t\in(0;\infty) \)
\( v=\frac{t}{396},\ \ t\in(0;\infty) \)
2000018803
Level:
A
Given the function \(f(x) = \frac{5}
{x}\),
find the function \(g\) such
that the graphs of \(f\)
and \(g\) are symmetric
about the line \(y = -x\).
\(g(x) = \frac{5}
{x}\)
\(g(x) =5
{x}\)
\(g(x) = -\frac{5}
{x}\)
\(g(x) = -{5}
{x}\)
2000018802
Level:
A
Given the function \(f(x)= \frac{6}
{x} \),
evaluate \( \frac{f(-3)}{ f(2)}\).
\(-\frac23\)
\(-6\)
\(-\frac32\)
\(-\frac16\)