Functions Quiz

Functions Quiz

11th - 12th Grade

11 Qs

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Functions Quiz

Functions Quiz

Assessment

Quiz

Mathematics

11th - 12th Grade

Hard

Created by

The Consultant_SG

Used 4+ times

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following graphs represent a one to one function?

Media Image
Media Image
Media Image
Media Image

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 f1f^{-1}  An inverse function exists if _______________

there exists a horizontal line that cuts the graph of f at most once.

every vertical line x = k cuts the graph of f at most once.

if  1f(x)\frac{1}{f\left(x\right)}  is well defined.

f is one to one function.

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given f(x)=x2+2x ,  x <1 f\left(x\right)=x^2+2x\ ,\ \ x\ <-1\  , find the equation of  f1(x)f^{-1}\left(x\right) 

 f1(x)=x+11f^{-1}\left(x\right)=-\sqrt{x+1}-1  

 f1(x)=x+11f^{-1}\left(x\right)=\sqrt{x+1}-1  

 f1(x)=1x2+2xf^{-1}\left(x\right)=\frac{1}{x^2+2x}  

 f1(x)=1x2+12xf^{-1}\left(x\right)=\frac{1}{x^2}+\frac{1}{2x}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The range of a function, f is equivalent to _______

DfD_f

the values of y between the minimum and maximum points.

Rf1R_{f^{-1}}

Df1D_{f^{-1}}

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the composite function fg to exist, ______________ .

DgRfD_g\subseteq R_f

RfDgR_f\subseteq D_g

RgDfR_g\subseteq D_f

DfRgD_f\subseteq R_g

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given f(x)=lnxf\left(x\right)=\ln x  and  g(x)=x2+2g\left(x\right)=x^2+2  . Find the equation of fg(x).

 ln(x2+2)\ln\left(x^2+2\right)  

 [ln(x)]2+2\left[\ln\left(x\right)\right]^2+2  

 [lnx][x2+2]\left[\ln x\right]\left[x^2+2\right]  

 [ln(x2)]+2\left[\ln\left(x^2\right)\right]+2  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 DghD_{gh}  = ____________

 DhD_h  

 DgD_g  

 RhR_h  

 RgR_g  

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