Algebra 2 Chapter 10 Worksheet 1—Exponential Functions



Algebra 2: Rational Equations and Exponential Function Quiz Review Guide

Section #1: Evaluate Rational Functions

[pic]

f(4) =

f(-2) =

f(1) =

[pic]

g(0) =

g(-1.2) =

g(-2) =

[pic]

h(-4) =

h(3) =

h(-2) =

Section #2: Elements of Rational Graph

Identify the following in a rational function graph.

Vertical Asymptotes:

Horizontal Asymptotes:

Discontinuity:

Section #3: Solve Rational Equation

• Method #1: Use Calculator Y1 = Left Side and Y2 = Right Side and find Intersection

• Method #2: Solve Algebraically using LCM (common denominator)

A. [pic]

B. [pic]

C. [pic]

D. [pic]

Section #4: Exponential Functions

4A. For each pattern,

a. Determine whether the multiplication pattern.

b. Find the next two numbers.

c. Write the exponential equation: y = a(b)x for the sequence.

1) 7, 14, 28, 56, …

2) 72, 24, 8, …

3) 24, 30, 37.5, …

4) 192, 48, 12, …

4B. For each equation,

a. Identify the initial value (y-intercept)

b. Calculate the value of the percent of change.

|Equation |Initial Value |Percent of Change (Growth or Decay) |

|y = 56 (1.12)x | | |

|y = 1.53•0.76x | | |

|y = 1.083x (1.095) | | |

4C. Write an exponential equation y = a(b)x that represents the graph.

4D. For each exponential function.

Complete the table of points.

What is the y-intercept?

What is the horizontal asymptote of the graph?

y = (2)x + 3

|x |y |

|-2 | |

|0 | |

|2 | |

|4 | |

y = 2(3)x – 5

|x |y |

|-1 | |

|0 | |

|1 | |

|2 | |

y = 6(1/2)x – 7

|x |y |

|-3 | |

|-1 | |

|1 | |

|3 | |

-----------------------

0

(0, 3)

(1, 1/2)

(-1, 18)

(0, 2)

(1, 6)

(2, 18)

(-1, 4)

(0, 6)

(1, 9)

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