# Homework 3

Homework 3 Make a border-to-border graph of each of the following functions. Use a table of values for all functions except linear, which can be graphed using slope – intercept form. Include the vertex for each quadratic equation. For each function, identify the family of the function, domain and range. Be sure to include the axis when listing the domain and range, such as x is any real number or y  5. 1. f(x) = 3x – 2 2. f(x) = 2|x – 1| x f(x) family_________________ family_________________ domain____________ range __________ domain____________ range __________ 3. f(x) = 2 x - 4 4.

f

(

x

)  1

x

x f(x) family_________________ family_________________ domain____________ range __________ domain____________ range __________

5) y = -x 2 – 2x + 3 6) y = x 2 + 4x + 3 x f(x) family_________________ family_________________ domain____________ range __________ domain____________ range __________ vertex_______________ vertex_______________ Review List all the factor pairs for each number and circle any of the factor pairs that contain a perfect square factor (e.g. 1,4,9…). 7. 32 8. 18 Simplify Completely: 9. 5 6  9 15 5 10. 6  9 15 Factor the numerator and denominator of the fraction 11. 2

x

2

x

2  7

x

 25  4 12. 5

x

2

x

2 

x

 36