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4 years ago

7

Can someone help me pleaseeee

2 answers:

Sidana [21]4 years ago

3 0

Answer: B) False

The input x = 5 leads to the two outputs f(x) = 2 and f(x) = 1 (as shown by the green arrows in the attached image). In order to have a function, all of the inputs must lead to exactly one output.

lys-0071 [83]4 years ago

3 0

Its False...because functions can put in more than one real numbers but the output can only have 1 possible number and in this the number 5 input has 2 outputs!!

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Assignment: Function Equations Investigation

kakasveta [241]

Function 1:

For the given table

$\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}$

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.

Function 2:

For the given function f(x)=-2x+3 you can create a table

$\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}$

and plot the graph (see second attached diagram).

Function 3:

For the given graph of the function, you can find the function:

$\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.$

Thus, the equation of the function 3 is $f(x)=\dfrac{1}{2}x-3.$

The table will take a look

$\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}$

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