Precalculus 1.1-1.3 Review

Determine the midpoint of the given points:

 $\left(-1,3\right)$ and $\left(-6,7\right)$ 

•  $\left(-\frac{5}{2},2\right)$  

•  $\left(-\frac{7}{2},5\right)$  

•  $\left(-7,10\right)$  

•  $\left(-\frac{7}{2},2\right)$  

Tags

CCSS.HSG.GPE.B.6

Find the distance between $\left(4,-1\right)$ and $\left(6,3\right)$ . Write your answer in simplest radical form.

•  $\sqrt{20}$  

•  $2\sqrt{5}$  

•  $\sqrt{104}$  

•  $2\sqrt{26}$  

Tags

CCSS.HSG.GPE.B.7

Determine whether the given equation has symmetry with respect to the x-axis, y-axis, or origin.

 $3x-7y^4=25$  

• Symmetry with respect to the x-axis.

• Symmetry with respect to the y-axis.

• Symmetry with respect to the origin.

• No symmetry.

Tags

CCSS.HSF.IF.A.1

Determine whether the given equation has symmetry with respect to the x-axis, y-axis, or origin.

 $2x^5+y=15x$  

• Symmetry with respect to the x-axis.

• Symmetry with respect to the y-axis.

• Symmetry with respect to the origin.

• No symmetry.

Tags

CCSS.HSF.BF.B.3

Determine whether the given equation has symmetry with respect to the x-axis, y-axis, or origin.

 $y+3x^2=x+4$  

• Symmetry with respect to the x-axis.

• Symmetry with respect to the y-axis.

• Symmetry with respect to the origin.

• No symmetry.

Tags

CCSS.HSF.BF.B.3

Identify each graph that is symmetric with respect to the y-axis. Select all that apply.

• 
• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

Which of the following points represent intercepts of the given equation? Select all that apply.

 $y^2=x+16$  

•  $\left(-16,0\right)$  

•  $\left(0,-16\right)$  

•  $\left(0,-4\right)$ 

•  $\left(4,0\right)$  

• None of these points are intercepts of the given equation.

Tags

CCSS.HSF-IF.C.7A

Identify the x-intercepts of the given equation. Select all that apply:

 $y=\frac{x^2+9}{x+3}$  

•  $\left(0,-3\right)$  

•  $\left(-3,0\right)$  

•  $\left(0,3\right)$  
  

•  $\left(9,0\right)$  

• There are no x-intercepts.

Tags

CCSS.HSF-IF.C.7D