Identify whether the following relations are functions of [tex]$x$[/tex] and state the domain and range.
\begin{tabular}{|c|c|}
\hline[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline-2 & -6 \\
\hline-1 & -2 \\
\hline 0 & 0 \\
\hline 1 & 2 \\
\hline 2 & 6 \\
\hline
\end{tabular}
[tex]$\{(4,3),(5,3),(6,3),(7,3)\} \quad x=18 y^2$[/tex]
function
Domain: [tex]$[-2,2]$[/tex]
Range: [tex]$[-6,6]$[/tex]
Not function
Domain: [tex]$(-4,4)$[/tex]
Range: [tex]$(-5,5)$[/tex]
Function
Domain: [4,7]
Range:
b. [tex]$g(x)=\frac{3 x-2}{(x+6)(x-4)}$[/tex]
c. [tex]$f(x)=\sqrt{x-2}$[/tex]
e. [tex]$h(x)=\frac{x}{x^2-2 x}$[/tex]
g. [tex]$y=\frac{1}{x^2+6}$[/tex]
f. [tex]$f(x)=\frac{5}{x+4}-\frac{2}{x}$[/tex]
h. [tex]$g(x)=\frac{\sqrt{8-x}}{(x+4)\left(x^2+1\right)}$[/tex]
2. Write the domain in interval notation of each function:
a. [tex]$y=x^2+7$[/tex]
Domain:
Range:
d. [tex]$y=\frac{1}{\sqrt{5-x}}$[/tex]
Answer (3)
Plus every fraction you will get 7/8
And the question says about the ribbons he will get at 3/4 miles
so let the whole road is 1
so, according to the equation ; (1-7/8) = 1/8
and (1-1/4) = 3/4
so the answer is green and blue
Red ribbons: 1
Green ribbons: 6
Blue ribbons: 3 ;
At the 4 3 mile marker, riders will have collected a red ribbon, a green ribbon, and a blue ribbon. Each ribbon is collected based on specific distance intervals that have been met. Therefore, all three colors of ribbons will be collected at this point.
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