News
Get Premium
Dashboard
Dashboard Sign out
Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
6. Exponential Functions
Continue to next subchapter
search

Exercise 33 Page 457

Substitute -2, -1, 0, 1, 2 and 3 for x.

{0.16,0.4,1,2.5,6.25,15.625}, increase

Practice makes perfect
We are given an equation and asked to evaluate it for some given values. x=-2, -1, 0, 1, 2, 3This means that we should substitute -2, -1, 0, 1, 2, and 3 for x in the given equation and then evaluate. Let's start with -2.
y = 2.5^x
Substitute

x= -2

y = 2.5^(-2)
WriteAsFrac

Write as a fraction

y = (5/2)^(-2)
PowQuot

(a/b)^m=a^m/b^m

y = 5^(-2)/2^(-2)
MoveNumLeft

a/b=a* 1/b

y = 5^(-2)*1/2^(-2)
NegExponentToFrac

a^(- m)=1/a^m

y = 1/5^2 * 1/1/2^2
DivByFracD

a/b/c= a * c/b

y = 1/5^2 * 1*2^2/1
CalcPow

Calculate power

y = 1/25*1*4/1
IdPropMult

Identity Property of Multiplication

y = 1/25*4/1
MultFrac

Multiply fractions

y = 4/25
FracToDiv

a/b=aĂ· b

y = 0.16
Now, let's do the same thing for the rest of the values.
x Evaluation Result
-2 2.5^(-2) 0.16
-1 2.5^(-1) 0.4
0 2.5^0 1
1 2.5^1 2.5
2 2.5^2 6.25
3 2.5^3 15.625

As we see, the values of the range increases.

Subchapter links expand_more
arrow_right Lesson Check p.456
1
Lesson Check 2 (Page 456)
3
4
5
6
7
arrow_right Practice and Problem-Solving Exercises p.457-459
8
9
10
11
12
Practice and Problem-Solving Exercises 13 (Page 457)
Practice and Problem-Solving Exercises 14 (Page 457)
Practice and Problem-Solving Exercises 15 (Page 457)
Practice and Problem-Solving Exercises 16 (Page 457)
Practice and Problem-Solving Exercises 17 (Page 457)
18
19
20
21
22
23
24
25
26
27
28
29
Practice and Problem-Solving Exercises 30 (Page 457)
Practice and Problem-Solving Exercises 31 (Page 457)
Practice and Problem-Solving Exercises 32 (Page 457)
Practice and Problem-Solving Exercises 33 (Page 457)
Practice and Problem-Solving Exercises 34 (Page 457)
Practice and Problem-Solving Exercises 35 (Page 457)
Practice and Problem-Solving Exercises 36 (Page 457)
Practice and Problem-Solving Exercises 37 (Page 457)
Practice and Problem-Solving Exercises 38 (Page 457)
Practice and Problem-Solving Exercises 39 (Page 457)
40
41
Practice and Problem-Solving Exercises 42 (Page 458)
43
44
45
Practice and Problem-Solving Exercises 46 (Page 458)
Practice and Problem-Solving Exercises 47 (Page 458)
48
49
50
51
52
53
54
55
arrow_right Standardized Test Prep p.459
56
Standardized Test Prep 57 (Page 459)
Standardized Test Prep 58 (Page 459)
arrow_right Mixed Review p.459
59
60
61
62
Mixed Review 63 (Page 459)
Mixed Review 64 (Page 459)
Mixed Review 65 (Page 459)
Mixed Review 66 (Page 459)
Mixed Review 67 (Page 459)
Mixed Review 68 (Page 459)
Mixed Review 69 (Page 459)