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2 answers:
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To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.
To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.
<em>Of course, it passes the vertical line test, so its a function. </em>
<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>
<em>ANSWER: D</em>
X/5 > -2
Multiply 5 on both sides:
x > -10
Draw a graph and draw a line for x > -10
(Look at the attachment below - where the green line is shown make it dotted)
Hope it helped :)
Multiply 5 on both sides:
x > -10
Draw a graph and draw a line for x > -10
(Look at the attachment below - where the green line is shown make it dotted)
Hope it helped :)
Suppose 
has two roots, reciprocals of one another. Call them 
, with 
.
Let's divide through
by 
for now. By the fundamental theorem of algebra, we can factorize as
Expand the RHS to get
so we must have
The first equation says and 
occur in a ratio of the negative sum of the roots of , while the third equation says that the first and last coefficients 
must be the same.
Let's divide through
Expand the RHS to get
so we must have
The first equation says