Flashcards in PreCalc Chapter 1 Test Deck (75)

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## 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

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## 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

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

### neither--no symmetry

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## 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

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

### no difference

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## 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])}

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## what is a secant line

### a line that intersects two points

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

### relative max

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

### Vertical Line Test

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

### zeroes (roots, x-intercepts)

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## 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

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## 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

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

### odd

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## 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

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## 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)

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## what is domain

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

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## what is the range

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

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## what does relation mean

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

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

### (1,4) an ordered pair

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## what is a function

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

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## 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

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## what is a piecewise function

### a function with multiple equations, each with designated rules

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

### difference of perfect squares

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## what is implied domain

###
values acceptable for x for a certain function (given)

usually in in piecewise

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## what is the variable under the radical called

### radicand

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## how do you solve a difference quotient

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

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## 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

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