Power and radical functions
Translations of Power Function
Submitted by ladislav.foltyn on Sat, 04/20/2019 - 13:31Graphs of Polynomial Functions
Submitted by ladislav.foltyn on Mon, 04/15/2019 - 20:20Graphs and Equations of Power Functions with Real Exponent
Submitted by ladislav.foltyn on Mon, 04/15/2019 - 19:48Graphs of Power Functions and Property of Exponent
Submitted by ladislav.foltyn on Thu, 04/04/2019 - 10:39Radical Functions and their Graphs
Submitted by ladislav.foltyn on Wed, 04/03/2019 - 20:37Properties of Power Functions
Submitted by ladislav.foltyn on Thu, 03/14/2019 - 19:52Question:
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Choose all true statements for each of the functions that are presented in the following table.
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Graphs of Power Functions $f(x)=x^n$ with $n$ Nonzero Integer
Submitted by ladislav.foltyn on Mon, 02/18/2019 - 12:461003159201
Level:
C
The 3D printer prints a solid \( 5 \) centimetre cube in \( 2 \) hours. The printer can print the cube with the maximum edge length of \( 20\,\mathrm{cm} \). Suppose the printing time is directly proportional to the cube volume. Choose the function that describes the dependence of the number \( n \) of cubes printed in \( 1 \) day on the printed cube edge length \( a \), which is specified in centimetres. Neglect time needed for using the printer.
\( n=1500a^{-3};\ a\in(0;20] \)
\( n=60a^{-1};\ a\in(0;20] \)
\( n=300a^{-2};\ a\in(0;20] \)
\( n=2.4a;\ a\in(0;20] \)
1003159101
Level:
C
Choose the function that describes the dependence of a cube volume \( V \) on the length of its space diagonal \( u \).
\( V=\frac{\sqrt3\cdot u^3}9;\ u\in(0;\infty) \)
\( V=u^3;\ u\in(0;\infty) \)
\( V=\frac{u^3}3;\ u\in(0;\infty) \)
\( V=27u^3;\ u\in(0;\infty) \)