Ex: Determine if a Table of Values Represents a Function
Ex: Determine if a Table of Values Represents a Function

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If $(-2,3)$ is a point on the graph of a one-to-one function $f$ which of the following points is on the graph of $f^{-1} ?$$\begin{array}{llll}{\text { (a) }(3,-2)} & {\text { (b) }(2,-3)} & {\text { (c) }(-3,2)} & {\text { (d) }(-2,-3)}\end{array}$$ 00:13 If$(-2,3)$is a point on the graph of a one-to-one function$f$which of the following points is on the graph of$f^{-1} ?$(a)$(3,-2)$(b)$(2,-3)$(c)$(-3,2)$(d)$(-2,-3)$00:35 Multiple Choice If (-2,3) is a point on the graph of a one-to-one function$f$, which of the following points is on the graph of$f^{-1}$?(a) (3,-2)(b) (2,-3)(c) (-3,2)(d) (-2,-3) 01:16 Match each function in Exercises$33-36$with the correct graph in choices$A-D$GRAPH CANT COPY$$f(x)=2 x^{3}+x^{2}-x+3$$ 03:43 Figure P.57 shows the graphs of the functions: (i)$x-x^{4}$,(ii)$x^{3}-x^{4}$(iii)$x(1-x)^{2}, \quad$(iv)$x^{2}-x^{3} .\$ Which graph corresponds to which function?

Transcript

okay if a relation is a function then it means every X. Value in your domain maps onto at most one element in the range. In other words X to Y is always no choice. So the first one here, if I take this X value for example, the Y value could be this number or this member. There are two choices for the x. value. Therefore is not a function. And basically what you do with grass is you draw straight lines on the graph that are vertical. And if the vertical line cuts the graph more than once in any location is not a function. So here if I draw lines are vertical over here because nowhere that’s fine. But here it cuts twice. So that means that once is not a function here though on the…