Unit 8 Test Review

The graph above represents the height of a baseball in feet as a function of the elapsed time since it was hit. The baseball was in the air 6 seconds.

• $Domain:\ 0\le x\le60$
  $Range:\ 0\ \le y\ \le6$
  

• $Domain:\ 0<x<60$
  $Range:0<y<6$
  

• $Domain:0\le x\le6$
  $Range:0\le y\le60$
  

• $Domain:\ 0<x<6$
  $Range:\ 0<y<60$
  

A quadratic function is shown on the graph above.

What are the domain and range for the quadratic function shown on the graph?

• $Domain:\ x<2\ ;\ \ Range:\ y>1$

• $Domain:\ x\le2\ ;\ Range:\ y\ge-1$

• $Domain:\ x\le-1\ ;\ Range:\ y\ \ge1$

• $Domain:\ y\le2\ ;\ Range:\ x\ge-1$

A quadratic function is shown in the graph above.

What are the domain and range of the quadratic function?

• Domain: all real numbers greater than or equal to 7

  Range: all real numbers less than 7

• Domain: all real numbers greater than or equal to 1

  Range: all real numbers less than 11

• Domain: all real numbers greater than 1

  Range: all real numbers less than or equal to 7

• Domain: all real numbers

  Range: all real numbers

A numerical radical expression is shown below.
 $5\sqrt{6300}$  

•  $50\sqrt{63}$  

•  $15\sqrt{700}$  

•  $210$  

•  $150\sqrt{7}$  

Chris competed in shotput at his school field event. From shoulder height, Chris threw the shotput down the field and the referee marked the spot on the ground where it landed. The graph shows the path of the shotput, where x represents the horizontal distance traveled by the shotput and y represents the height of the shotput.

What is the domain of the path of the ball?

• $x\le10$

• All real numbers less than or equal to 5

• $0<x<5$

• All real numbers greater than or equal to 0 and less than or equal to 10

Tags

CCSS.HSF-IF.C.7A

Which function is equivalent to
 $g\left(x\right)\ =\ \frac{2}{5}\left(x-5\right)^2\ +8?$  

•  $g\left(x\right)=\frac{2}{5}x^2\ +18$  

•  $g\left(x\right)=\frac{2}{5}x^2\ -4x\ +18$  

•  $g\left(x\right)=\frac{2}{5}x^2-10x\ +4$  

•  $g\left(x\right)=\frac{2}{5}x^2-8x+10$  

Which equation can be used to represent the quadratic function?

• $f\left(x\right)=x^2+2x-3$

• $f\left(x\right)=-x^2+2x+3$

• $f\left(x\right)=x^2+4x-3$

• $f\left(x\right)=-x^2+2x-3$

The graph of the quadratic function above represents the profit for Keaton's Running Shoe Company.

How many shoes should Keaton's Running Shoe Company produce in order to have a maximum profit?

• 40,000

• 5,000

• 25,000

• 10,000

A quadratic function and blank grid are given above.
 $f\left(x\right)=x^2-6x-25$  
Using a graph of the function, determine which statement is NOT true description of this quadratic function.

• The graph is symmetric across the line x = 3

• The zeros of the function are ( 1, 0 ) and ( -3, 0 )

• The vertex is ( 3, -34)

• The y-intercept is - 25

Tags

CCSS.HSF-IF.C.7A

The graph of the quadratic function shown on the grid models the path of a flying fish moving in and out of water.

Which statement about the x-intercepts of the graph is true?

• The fish is at sea level between 2 and 7 seconds.

• The fish is 3 ft below sea level at 0 seconds

• The fish is at sea level 2 seconds and 7 seconds.

• The fish is 1.5 feet above sea level at 4 seconds.