Gr.9_ Quiz 1_ Functions and sequences

These are the first four terms of a sequence :

5, 8, 11, 14

Is 503 a term of this sequence ?

• Yes, it is the 167th term

• No, it is not divisible by 3

• It is not possible to know

Tags

CCSS.HSF.BF.A.2

Given  $f\left(x\right)=5-2x$  . The expression of  $f\left(f\left(x\right)\right)$  is:  

•  $f\left(f\left(x\right)\right)=\ \left(5-2x\right)^2$  

•  $f\left(f\left(x\right)\right)=4x-5$  

•  $f\left(f\left(x\right)\right)=2\left(5-2x\right)$  

•  $f\left(f\left(x\right)\right)=10+4x$  

Tags

CCSS.HSF-BF.A.1C

 $g\left(x\right)$  is a function with an inverse function  $g^{-1}\left(x\right)$  . The value of  $g\left(g^{-1}\left(3\right)\right)$  is

•  $g\left(3\right)$  

• It is impossible to know

• 3

•  $g^{-1}\left(3\right)$  

Tags

CCSS.HSF-BF.B.4C

Given the functions   $f\left(x\right)=x^2-x-30$  and  $g\left(x\right)=2x-3$  . The value of  $f\left(g\left(-2\right)\right)$  is

• -51

• 12

• 26

• -30

Tags

CCSS.HSF-BF.A.1C

Find the next term in the sequence :

2, 12, 36, 80, 150, 252, ...

Tags

CCSS.HSF.BF.A.2

Find the next term in the sequence:

4, 8, 12, 16, 20

Tags

CCSS.HSF.BF.A.2

Find the next term in the sequence:

3, 12, 27, 48, 75, ...

Tags

CCSS.HSF.BF.A.2

Find the next term in the sequence :

7, 25, 61, 121, 211,...

Tags

CCSS.HSF.BF.A.2

Given   $f\left(x\right)=\left|9-x^2\right|$  . Solve  $f\left(x\right)=7$  

• x= -1.41 and x= 1.41

• x= -4 ,x= -1.41, x= 1.41 and 4

• x= -4 and x= 4

• It is impossible to know

Given  $h\left(x\right)=x^2-3$  . Write down the range of h(x)

•  $\left\{x\in R\ :\ x>-3\ \right\}$  

•  $\left\{x\in R\ :\ x\ge-3\right\}$  

•  $R$  

•  $\left\{x\in R\ :\ x\ge3\right\}$