Algebra Functions and Intercepts

Which statement best describe how to graph this line.
y=\frac{2}{3}x\ +4

• Start at the y-intercept of 4 which is (0 , 4) then slope the line by moving up 2 right 3. Then do the slope over and over. 

• Start at the origin (0,0) then slope the line by moving 2 over 3. Then do the slope over and over. 

• Start at the y-intercept of 4 which is (4, 0) then slope the line by moving up 2 left 3. Then do the slope over and over. 

• Start at the y-intercept of 4 which is (0 , 4) then slope the line by moving down 2 over 3. Then do the slope over and over. 

What is the range of the graph?

• {x| x ≥ 2 }

• {y| y ≥ 2 }

• {x| x = ℝ}

• {y| y = ℝ}

What is the domain of the graph?

• All real numbers

• {x| x ≥ 2}

• {x| x ≥ -1}

• {y| y ≥ -1}

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

• Quadratic - y = x²

• Absolute Value - y = |x|

• Square Root - y = √x

• Cube Root - y = ∛x

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

• Cube Root - y = ∛x

• Cubic - y = x³

• Exponential - y = 2^x

• Rational/Inverse - y = 1/x

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

• Rational - y = 1/x

• Absolute Value - y = |x|

• Linear - y = x

• Quadratic - y = x²

Identify the transformation of the equation.

• Reflect/Left 1/Down 8

• Left 1 /Down 8

• Right 1/Down 8

• Reflect/Right 1/ Down 8

Identify the transformation of the equation.

• Reflect/Left 5/Down 2

• Reflect/Right 5/Up 2

• Reflect/Right 2/ Down 5

• RIght 5/Up 2

The zero(s) of the function are where the function crosses ____________.

• the x-axis

• the y-axis

• the origin

• the 1st quadrant

What is the domain of the graph?

• {x| x ≥ 1}

• {y| y ≥ 1}

• {x| x ≥ 0}

• {y| y ≥ 0}