Is it a function?
Is this relation {(1,2), (-4, 6), (7,1), (-1,2)} a function?
Yes it is. Y-values are allowed to repeat. X-values cannot.
What is average rate of change also known as?
Slope
Has no degree
Exponential Function
If f(x)=4x+5, what is f(-3)?
f(-3)=4(-3)+5
f(-3)=-7
Does the input represent x or y values?
X values
Give a value of k that would make this relation not a function.
{(-1,0),(3,5),(4,9),(k,1)}
Either -1, 3, or 4.
What is the formula for Average Rate of Change?
M=(y2-y1)/(x2-x1)
Which function shows a parabola?
Quadratic Function
Given f(x)=-3x2+10, find the value of f(-2)
f(-2)=-3(-2)2+10
f(-2)=-2
What does the slope measure?
Steepness of a line
Is this relation a function?
{(0,1),(1,0),(-2,1),(-1,-2)}
Yes, no repeating x-values
The x-intercepts
When the y-values in a table increase at a constant rate.
Linear Function
If f(x)=(3x+4)/2, then f(8) is...
f(8)=(3(8)+4)/2
f(8)=14
Is a function always a relation?
YES
When given a graph, which test could you perform to determine if something is a function or not?
No, you use whichever one fits in the interval/boundary.
Has a degree of 1.
Linear Function
If g(x)=-x2-x+5, then g(-4) is...
g(-4)=-(-4)2-(-4)+5
g(-4)=-7
What is a function?
A rule that converts an input into an output
Are relations always functions?
Not always
Given f(x)=x2+1, will there be any negative outputs?
No, all solutions are in Quadrant 1 and 2.
f(x)=3x-2
Exponential Function
If f(x)=x2+2x+1 and g(x)=3x+5, then what is the value of f(1)-g(3)?
f(1)=4
g(3)=14
f(1)-g(3)=4-14
f(1)-g(3)=-10
What is a set?
Collection of numbers