Graphing
What is the y-intercept of the graph
f(x)=x4-4x+8
(0,8)
What are the x-intercepts of the graph
f(x)=x3+3x2-10x-24
(-4,0)(-2,0)(3,0)
What is the remainder of
(2x3+12x2+10x+30) ÷ (x+3)
54
Draw the shape of cubic graph with a negative leading coefficient
:)
Draw the shape of a quartic graph with a positive leading coefficient
(:
What is the maximum number of turning points the following function could have
f(x)=ax3+bx2+cx+d
2
How many real and complex solutions does the following equation have? List the real.
f(x)=x4-81
2 real: 3 and -3x
2 complex
Is (x-2) a factor of (x4+7x3-36x)
Yes
Factor x3+125
(x+5)(x2-5x+25)
Factor x4-7x2-60
(x2-12)(x2+5)
The roots of a function are -4, 0, 8. What are the factors?
x(x+4)(x-8)
List all of the zeros of the function
f(x)=x4-16x3+94x2-240x+225
3, 3, 5, 5
18x3y4+12xy3
____________
3x2y4
6x + 4/y
Factor 8x6-343
(2x2-7)(4x4+14x2+49)
Factor x6-15x4+36x2
x2(x2-12)(x2-3)
What is the domain and range of the graph
f(x)=x3-27
Range: All Real
Graph f(x)=x4+5x3+6x2
List ALL relative mins and relative maxes. Round to the nearest tenth (one decimal point)
Min: (-2.6, -1.6) and (0,0)
Max: (-1.2, 2.1)
Simplify
24x3y5-36x4y3-6x4y5
__________________
6x4y5
4/y - 6/x2 - 1
Find the solutions of x3-64=0
4, -2± 2i √3
What are the real and complex roots of x4-x2-90=0
±3i, ±√10
What are the increasing and decreasing intervals of the graph
f(x)=x3+2x2+4
Increasing: (-∞ ,-2) U (0,∞ )
Decreasing: (-2, 0)
What is the end behavior of the graph
f(x)= -x3+64
x→ -∞ , f(x)→ ∞
x→∞ , f(x)→ -∞
Free Points !!
Shoot your shot
What are the real and complex solutions of x3= -27
-3, (3±3i√3)/2
Solve x4+2x2=24
±2 , ±i√6