Key Characteristics of Function Graphs

What is the absolute maximum of the following function? (Hint: Use Desmos!)

 $f\left(x\right)=-x^2+4x$ 

• (-2, -4)

• (0, 0)

• (2, 4)

• (4, 2)

What is the maximum value of this graph? (Click to enlarge)

• y = 6

• y = 0

• y = -6

• No Maximum

What is the y-intercept of this graph? (Click to enlarge)

• y = 6

• y = -3

• y = 0

• No y - intercept

Consider the function $f\left(x\right)=x^2-8x+12$ 
What are the x-intercepts? 

(Hint: Use Desmos!)

• x = -2, x = -6

• x = -2, x = 6

• x = 2, x = -6

• x = 2, x = 6

Consider the function $f\left(x\right)=x^2-8x+12$ 
What is the y-intercept?

(Hint: Use Desmos!)

• y = -12

• y = 12

• y = -6

• y = 6

Consider the function $f\left(x\right)=x^2-8x+12$ 
What is the minimum?

(Hint: Use Desmos!)

• (4, 4)

• (4, -4)

• (-4, -4)

• (-4, 4)

What is the domain of the function? (Click to enlarge)

• $x\ge-4$

• $x\ge-2$

• $x\ge0$

• $x\ge1$

What is the domain of the function? (Click to enlarge)

• $5\le x\le-2$

• $5\ge x\ge-2$

• $-9\le x\le7$

• $-9<x<7$

What is the range of the function? (Click to enlarge)

What is the x-intercept of this graph? (Click to enlarge)

• (2, 0)

• (0, 2)

• (4, 0)

• (0, 4)