Review 6.1-6.5 Test Name: __________________________________ 1. 2.

Write the general equation of a quadratic function. Write the general equation of an exponential function.

3. Given the exponential function f (x)  3 4 x , evaluate f(3), f(-2), f(0). 4. Sketch the graph of f ( x)  3x for values of x from -3 to 3. 5. For x a , label which part is the exponent, which is the base, which is the power. 6. Complete the following: (the rules of exponentiation) a) (ab)m 

b) ( y a )b 

c)

xm  xn

7. Evaluate 22.7 using your calculator. 8. Evaluate 0.82.7 with your calculator. Then explain why the answer is reasonable. 2

9. Use the definition of exponentiation to show why 8 3  0.25 . This means you cannot use anything from your calculator to explain.

10. If 4x  256 , what is x? 11. What does 10010 equal? 12. Transform the following expressions to their simplest form. 1 5

a) (3x )(5 x y )

3 1001301 b) 5 1001300

c) (4 x 5 y 9 )3

d)

e) (

2 3

5

6

(118.5 )(116.1 )

x5 7 y 7 10 ) ( ) y 6 x8

13. Draw a number-line graph : 15  2x 

15  2 x  30