Evaluating functions

Evaluating functions

Multiple Choice

Bell work: Evaluate

 $\left(x+3\right)^3$  

•  $x^3+3^3$  

•  $x^2+6x+3^2$  

•  $x^3+9x^2+27x+27$  

•  $x^3+3^2x^2+3^2x^3+3^3$  

Multiple Choice

ACT PREP Question

typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

• 14

• 44

• 48

• 54

• 13.5

https://www.youtube.com/watch?v=QAxZEelInJc&feature=emb_logo

Domain and Range

Objective: Today we will learn to identify the domain and range based on a equation (not a graph)

Domain-The input values of a given equation, also known as the set of all x-values there are three main domain restrictions until you reach trigonometry

Multiple Choice

Identify the domain  $f\left(x\right)=\frac{x-4}{x-1}$  

• all reals except 1

• All reasl except -1

• All reals except 4

• All reals except -4

Multiple Choice

 $f\left(x\right)=-\frac{3}{x^2-3x}$  

identify the domain

• Domain; All reals except 0, -3

• Domain: All reals except 1, 3

• Domain: All reasl except 0,3

• Domain: All reals except 0, 9

Multiple Choice

 $f\left(x\right)\ =\frac{3x^2+6x-24}{x^2-9}$  

Identify the domain

• Domain: Al reals except -3, 9

• Domain: All reals except -3,3

• Domain: All reals except 0,3

• Domain: All reals 

Multiple Choice

 $f\left(x\right)=\frac{x^3-3x^2-4x}{-3x^2+18x-24}$  

Identify the Domain

• All reasl except 2,8

• All reals except 4,3

• All reals except 2,4

• All reals except 3,18

Multiple Choice

 $5+\frac{2}{3}\sqrt{x+4}$  

Identify the domain and range

•  $Domain:\ x\ge-4$   $Range\ y\ge4$  

•  $Domain:\ x\ge-4$   $Range:\ y\ge5$  

•  $Domain:\ x\le-4\ and\ Range\ y\le5$  

•  $Domain\ x>-4\ and\ Range\ y<5$  

Multiple Choice

 $y=4+\sqrt{x+2}$  

Identify the domain and range

•  $Domain\ x\ge-2\ and\ Range\ y\ge4$  

•  $Domain\ x\ge-2\ and\ Range\ y\ge-8$  

• Domain: All reals  and Range all reals 

• Domain all reals