91Ó°ÊÓ

Fill in the blanks. A ________ is a set of ordered pairs (a relation) in which to each first component there corresponds exactly one second component.

Fill in the blanks. We call \(f(x)=x\) the __________ function because it assigns each real number to itself. We call \(f(x)=2\) a __________ function, because for any input \(x,\) the output is always \(2 .\)

Fill in the blanks. a. \(m=\frac{\text { }}{\text { horizontal change }}=\frac{\text { change in } y}{\Delta x}=\frac{ }{\Delta x}\) b. \(m=\frac{y_{2}-y_{1}}{ }\)

Consider the equation \(2 x+4 y=8 .\) How many variables does it contain? How many solutions does it have?

Consider the linear function \(y=-\frac{4}{5} x+3\). a. What is the slope of its graph? b. What is the \(y\) -intercept of its graph?

In which quadrant do points with a positive \(x\) -coordinate and a negative \(y\) -coordinate lie?

Do these ordered pairs name the same point? $$ \left(5.25,-\frac{3}{2}\right),\left(5 \frac{1}{4},-1.5\right),\left(\frac{21}{4},-1 \frac{1}{2}\right) $$

a. The graph of \(f(x)=|x|-5\) is the same as the graph of \(f(x)=|x|\) except that it is shifted _____ units _____. b. The graph of \(f(x)=|x-5|\) is the same as the graph of \(f(x)=|x|\) except that it is shifted _____ units _____.

If \(f(2)=7,\) the input 2 and the output 7 can be written as the ordered pair \((\quad,\quad)\)

Determine whether each ordered pair is a solution of the given equation. \(\begin{array}{ll}3 y-5 x=30 & \\ \text { a. }(-2.3,-7.5) & \text { b. }\left(-\frac{23}{5}, \frac{7}{3}\right)\end{array}\)