A function is an equation where there is a unique y for every x.
100
What is the standard form of quadratic equations?
What is ax^2+bx+c
100
How are the line of symmetry and the vertex related?
What is the line of symmetry goes through the vertex.
100
How do you know the degree of a polynomial function?
What is the highest power of the function.
100
What is the slope of the line that goes through the points (1, 2) and (-1, 10)
What is -4
200
How do you find the average rate of change?
You take the f(b)-f(a) divided by b-a
200
Factor x^2+7x-30
What is (x+10)(x-3)
200
How do you find the zeroes/solutions/roots of a quadratic equation?
If the equation is in factored from you set each factor equal to zero and solve. If that doesn't work you need to use the quadratic formula.
200
How do you know the end behavior of a polynomial graph?
You use the degree and leading coefficient of the equation to determine the end behavior.
200
How do exponents simplify when they are in a fraction?
You subtract the bottom power from the top power.
300
Find the inverse of the function x^2+4
What is the square root of x-4
300
Factor 6x^2-7x-3
What is (3x+1)(2x-3)
300
How do you find the vertex of a quadratic equation?
What is -b/2a and f(-b/2a)
300
How does polynomial division help us factor the function.
When we divide, if the remainder is zero than the divisor is a zero of the original function, so we can factor it out and lower the function until it's a quadratic and we can use one of our other methods to finish the factoring.
300
What is the algebraic property of parallel lines?
What is the lines have the same slope (and never intersect).
400
What is the property to test for when you are taking an inverse of a function?
You must check to make sure that the function is one-to-one. The means that for every y there is a unique x (and for every x there is a unique y).
400
Why do you need to complete the square of a quadratic equation?
This is how you convert a standard for equation to vertex form.
400
Graph the function 2x^2+4x-6
What is (-1, -8)
400
Is x+4 a factor of 3x^3 + 4x^2 - 2x +5
No when we divide there is a remainder of -115
400
What is the domain and range of a linear function?
What is all real numbers for domain and range.
500
Find the average rate of change of the function (x+2)(x-3) from x=1 to x=4
What is 4
500
Convert 2x^2+8x-3 into vertex form.
What is 2(x+2)^2-11
500
Graph the function (x+2)(x-4).Be sure to label the vertex and line of symmetry.
Vertex= (1, -9)
Opening upward
500
What are ALL of the possible zeroes we need to test for the function 4x^3 + 4x^2 - 2x + 6
What is (positive and negative) 1, 2, 3, 6, 1/2, 3/2, 1/4, 3/4
500
What is the domain and range of the equation (x+2)(x-2)
Domain: All real numbers
Range: All real numbers greater than and equal to -4