PreCalc Chapter 1 Test Flashcards
(75 cards)
How can you tell if a function is even? What kind of symmetry does it have?
Plug in -x for x, and your equation will remain exactly the same {{f(x)}}
Reflection symmetry over the y-axis
how do you know if a function is odd? What kind of symmetry does it have?
Plug in -x for x and your equation will be -f(x) (exact opposite). It has rotational symmetry 180 degrees about the origin
if your function is not odd or even, what is it? what kind of symmetry does this kind of function have
neither–no symmetry
what are points of inflection
where concavity changes
which way do you view a graph to tell if it is increasing or decreasing
left to right
what is the difference between intercepts, roots, and zeroes?
no difference
what does an open point signify on a graph
that breaks one of the rules in your piecewise function rules
how would you express that your domain can be all real numbers greater than -2 using interval notation
Domain= {R’s: (-2, [infinity sign])}
what is a secant line
a line that intersects two points
A ________________ is a location on a graph where your line stops increasing and starts decreasing
relative max
The ________ ________ ________ is used to determine whether the graph of an equation is a function of y in terms of x
Vertical Line Test
The _______ of a function f are the values of x for which f(x)=0
zeroes (roots, x-intercepts)
A function f is ______ on an interval when, for any x1 and x2 in the interval, x1 is less than x2 implies f(x1) is greater than f(x2)
decreasing
The ______ ______ _______ _______ between any two points (x1, f(x1)) and (x2, f(x2)) is the slope of the line through the two points, and this lines is called the _____ line
average rate of change, secant
A function f is _____ when, for each x in the domain of f, f(-x)=-f(x)
odd
true or false- a function with a square root cannot have a domain that is the set of all real numbers
false– the x value could be raised to an even root underneath the square root
i.e. y=square root of x^2
if the graph of a function was a) even or b) odd. what ordered pair could also lie on that graph if (-5/3, -7) did
a) (5/3, -7)
b) (5/3, 7)
what is domain
set of all values that the independent variable (usually x) can be
what is the range
the set of all values that the dependent variable (usually y) can be
what does relation mean
set of ordered pairs (mapping, x/y chart, etc.)
what is f(1)=4 in simpler terms?
(1,4) an ordered pair
what is a function
a specific relation saying your x value can never produce two or more y values
true or false– if an equation has a y value which produces 2 x values, it is NOT a function
false- although an x value cannot produce two or more y values, a y value can produce two or more x values
what is a piecewise function
a function with multiple equations, each with designated rules
