PreCalc Chapter 1 Test Flashcards Preview

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Flashcards in PreCalc Chapter 1 Test Deck (75)
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0

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

1

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

2

if your function is not odd or even, what is it? what kind of symmetry does this kind of function have

neither--no symmetry

3

what are points of inflection

where concavity changes

4

which way do you view a graph to tell if it is increasing or decreasing

left to right

5

what is the difference between intercepts, roots, and zeroes?

no difference

6

what does an open point signify on a graph

that breaks one of the rules in your piecewise function rules

7

how would you express that your domain can be all real numbers greater than -2 using interval notation

Domain= {R's: (-2, [infinity sign])}

8

what is a secant line

a line that intersects two points

9

A ________________ is a location on a graph where your line stops increasing and starts decreasing

relative max

10

The ________ ________ ________ is used to determine whether the graph of an equation is a function of y in terms of x

Vertical Line Test

11

The _______ of a function f are the values of x for which f(x)=0

zeroes (roots, x-intercepts)

12

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

13

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

14

A function f is _____ when, for each x in the domain of f, f(-x)=-f(x)

odd

15

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

16

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)

17

what is domain

set of all values that the independent variable (usually x) can be

18

what is the range

the set of all values that the dependent variable (usually y) can be

19

what does relation mean

set of ordered pairs (mapping, x/y chart, etc.)

20

what is f(1)=4 in simpler terms?

(1,4) an ordered pair

21

what is a function

a specific relation saying your x value can never produce two or more y values

22

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

23

what is a piecewise function

a function with multiple equations, each with designated rules

24

what is (x^2-1) said to be

difference of perfect squares

25

what is implied domain

values acceptable for x for a certain function (given)
usually in in piecewise

26

what is the variable under the radical called

radicand

27

how do you solve a difference quotient

make two large brackets, plug in when they are asking you to. simplify and solve

28

how do you express that the domain of a function is x greater than or equal to 1 in interval notation. What notation is it in above?

[-1, infinity) inequality

29

A relation that assigns to each element x from a set of inputs, or _________, exactly one element y in a set of outputs, or ______, is called a ______.

domain, range, function