1.1
The equation of a line
What is y=mx+b?
Annotation- b=y-intercept, m=slope
What is an even function?
A sequence of numbers that increases or decreases by a constant amount each term
What is an arithmetic sequence?
(x-h)2+(y-k)2=r2
What is the equation of a circle?
Annotation-(h,k) is the center
x=logby
What is the logarithmic form?
The property that can be used to solve (x+13)(x-7)=0
What is the Zero Product Property?
Annotation: x+13=0, x-7=0
x=-13 or 7
A function where f(-x)=-f(x) and the graph is symmetric about the origin
What is an odd function?
A list of numbers where each term after the first is found by multiplying the previous one by a constant
What is a geometric sequence?
x2+y2=36
What is the equation of a circle with a center at (0,0) and a radius of 6?
Annotation- the general equation of a circle is (x-h)2+(y-k)2=r2 (h,k) is the center. insert the numbers of the question into the circle equation
by=x
What is exponential form?
Equation of a line with a slope of 5 and a y-intercept of (0,-2)
What is y=5x-2?
Annotation- general equation is y=mx+b, b=y-intercept, m=slope
y=a(x-h)2+k
What is graphing form?
y = a(x − h)2 + k form
What is vertex form?
(x+1)2+(y+4)2
What is the equation of a circle with a center at (-1,-4) and a radius of 1?
Annotation- the general equation of a circle is (x-h)2+(y-k)2=r2 (h,k) is the center. insert the numbers of the question into the circle equation
y=5x
Hint: exponential to log
What is x=log5(y) in exponential form?
Domain
What is the set of all input values for a relation or function?
y=x2+2
x=0
Hint: lowest point
What is the lowest point of y=x2+2?
Annotation: It opens upward so there will be a smallest output. The imput that leads to the smallest output would be x=0
(2x+3y)(2x-3y)
Hint: multiply out the equation
What is 4x2-9y2 factored?
A value that is undefined for a given function and excluded from the domain of the function.
What is an excluded value?
x=log8(y)
Hint: log to exponential
What is 8x=y in logarithmic form?
A line that a graph of a curve approaches but never meets, often represented by a dashed line on a graph.
What is an asymptote?
y=(x-2)2
x=2
What is the lowest point on the graph y=(x-2)2?
Annotation: it is impossible for y to be a negative number so what is the lowest number y can be?
2x3(2-x2)(2+x2)
Hint: multiply it out
What is 8x3-2x7 factored?
Annotation: Remove common factors 2x3(4-x4)
2x3(2-x2)(2+x2)
5xy(x+2)(x+5)
Hint: multiply it out
What is 5x3y+35x2y+50xy factored?
Annotation: look for common factors, take out 5xy, rewrite x2+7x+10 in factored form.
K=logA(C)
Hint: logarithmic to exponential
What is C=Ak in logarithmic form?