Functions

exponential

100

5⁶ x 5⁴

= 5⁶⁺⁴
= 5¹⁰

200

5⁸/ 5⁴

5^8-4

5⁴

300

square root of 49

49^1/2

7

400

fourth root of 250

250^1/4

=3.976

500

If 5 people were watching a show in the beginning and the growth factor was 3, how many people will be watching this show on the 5th day?

=5(3)t

= 1,215

trigonometric

100

find the equivlent CAST of angle 75

tan225

200

give the side length of Sin45 in exact terms.

 √2/1

300

tan220

0.839

400

determine the period of the function.

d=12sin(12t)+14

= 360/k 

= 360/ 12

= 30 

500

determine the x

 x²=152+202-2(15)(20)cos20

x²=625-600cos20

x²=625-563.81

x²=61.2 x=61.2=7.8

characteristic

100

function or relation?

x.    |.   Y

20   |.    20

30   |     45

40.  |.    60

function

200

describe the transformation.                                       g(x)= -3 f(x) 

this has been  reflected and vertically stretched by 3

300

describe the transformation

g(x)= 4f(x- 3) +2 

This function has been vertically stretched by 4, translated by 3 to the right and translated up by 2

400

simplify the following expressions and state the restriction 

X² +5x - 6                                              

/ x-1

(x- 1) (x+ 6) 

500

 √ 45

=  √ 9 x 5

=  √ 9  √ 5

=  3  √ 5

discrete

100

guess the next row of pascal triangle (1 4 6 4 1)

1 5 10 10 5 1

200

write a discursive formula and give the fourth term. 4,7,10...

t_n = a + (n-1)d

t_n = 4 +(n - 1)3

t₄ = 4 +(4 - 1)3

t₄ =13

300

write the next two terms of this sequel 1, -5, 25,

-125,625

400

8, 64, 512... find the 12th term  

Tn = ar^n-1

T₁₂ = 8(8)^12-1

T₁₂ = 68, 719, 476, 736

500

find the sum of the 10th term 3, 12, 48, 192, 768...

S_n = a(rⁿ- 1) /r- 1

S₁₀ = 3(4¹⁰- 1) / 4 - 1

=1,048, 575