Leading Coefficient Test
x3+x2+4x-5
Leading coefficient: 1
Degree: 3
End behavior: Left down, right up
2x2-3x+1
Leading coefficient: positive
Degree: even
Which function has a horizontal asymptote of y=0 and a y-intercept at (0,1)?
Exponential function
-2x6-3x4+4
Leading coefficient: -2
Degree: 6
End Behavior: Left down, right down
3x3-9x+1
Leading coefficient: positive
Degree: odd
State the asymptote and x-intercept for a parent logarithmic function.
Asymptote: x=0 (vertical)
X-intercept: (1,0)
-3x5-7x4+x3+2x2+x-10
Leading coefficient: -3
Degree: 5
End behavior: Left up, right down
-4x5+4
Leading coefficient: negative
Degree: odd
What is the range for the following equation?
y=2x-5
Range: (-5, ∞)
x2+3x-2+6x4
Leading coefficient: 6
Degree: 4
End behavior: Left up, right up
-2x4+4
Leading coefficient: negative
Degree: even
What is the domain for the following equation?
y=log7(x-3)
Domain: (3, ∞)
3x2-5x4+2x6+x3+x+4x5-6x7
Leading Coefficient: -6
Degree: 7
End Behavior: Left up, right down
-3x5+2x
Leading coefficient: negative
Degree: odd
What is the domain and range for the following graph?
Domain: (-∞, ∞)
Range: (1, ∞)