Alg 2 Fall 2021 Semester Exam Part 1 for ALL

What is the definition of a function?

• A relation that has inputs and outputs.

• A relation in which every input has only ONE output.

• A relation in which inputs have more than one output every time.

• A relation with x-values and y-values.

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Determine if the following graph is a Function:

• Yes, it is a Function because almost every input has 2 outputs.

• No, not a Function because some inputs have more than 1 output.

• Yes, it is a Function because it's a sideways turned parabola.

• No, it is not a Function because it goes through the origin.

What is the DOMAIN of this graph?

• -7≤x<5

• -7≤y<5

• -3<x<1

• -3≤y<1

What is the range of the quadratic function?

• All Real Numbers

•  $1\le y<\infty$  

•  $-\infty<y<\infty$  
  

•  $1\le x<\infty$  

 $Given\ \ f\left(x\right)=x^2+1,\ find\ f\left(-3\right)$  

•  $f\left(-3\right)=-3^2+1=-9+1=-8$  
  

•  $f\left(-3\right)=-3^2+1=-6+1=-5$  
  

•  $f\left(-3\right)=\left(-3\right)^2+1=9+1=10$  

•  $f\left(-3\right)=\left(-3\right)^2+1=6+1=7$  

Let $g(x)=3x-5$ . 

 If  $g(x)=13$  , find  $x$ .

• 6

• 34

•  $\frac{8}{3}$  =2.666667
  

• 7

What is the name of the parent function and equation for the graph?

• Quadratic $\ \ \ y=x^2$

• Absolute Value $\ \ \ y\ =\ \left|x\right|$

• Square Root $\ y\ =\ \sqrt{x}$

• Cubic $\ \ \ \ \ \ y\ =\ x^3$

Which is the parent function of the graph?

• f(x) = x²

• f(x) = x³

• f(x) = $\sqrt{x}$

• f(x) = $\left|x\right|$