Chapter 11 Quiz REVIEW

Name________________________________________ Date _____________________ Period _________ Row _____ Pre Calculus Chapter 11 Quiz REVIEW (Sections 11.1-11.2) Complete the table for the function and find the indicated Graph the function. Then use your graph to find the limit. indicated limit. x3 - 6x + 8 5) f(x) = 3x + 4, lim f(x) 1) lim x¬4 x-2 x¬0 y

x f(x)

2)

-0.1

-0.01 -0.001 0.001

0.01

0.1

lim x2 - 5 x¬0 x f(x)

-0.1 -0.01 -0.001 0.001 0.01

x

0.1

Use the graph of f to find the indicated limit. 3)

6) f(x) = x - 3 if x < 0 , 5x - 3 if x ≥ 0

lim f(x) x¬0

lim f(x) x¬0

y

x

4)

Find the limit. 7) lim 3 x¬1

lim f(x) x¬«

1

Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied. 8) lim x2 - 5 x¬0

9)

10)

11)

12)

lim x2 - 2x - 15 x¬5 x+3

lim x-7 x¬7 x - 49

lim x¬0

x3 + 12x2 - 5x 5x

lim x3 - 6x + 8 x¬0 x-2

2

13)

lim 2x - 7 x¬1 4x + 5

14)

x4 - 1 lim x¬1 x - 1