For number 9 put the equation in the graphing calculator and see what the outcome is
Do you have a picture to show so i can answer?
Answer:
(a) Horizontal line test
Step-by-step explanation:
A relation that is a function already passes the vertical line test. If it has an inverse function, that function must also pass the vertical line test.
<h3>Inverse relation</h3>
The inverse relation will be the same graph reflected across the line y=x. That is, points that are horizontally aligned on the relation graph become vertically aligned on the inverse relation graph.
<h3>Inverse function</h3>
If the inverse relation is to be a function, then there must be no points on its graph that are vertically aligned. This requirement translates to the requirement that there be no horizontally-aligned points on the graph of the original relation. The "horizontal line test" checks for horizontally aligned points. If there are none, the test is said to <em>pass</em>.
A function will have an inverse function if it passes the Horizontal Line Test.
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<em>Additional comment</em>
The attached graph shows a function (red curve) that <em>does not pass the horizontal line test</em>. Its inverse relation is the green curve, which you can see is <em>not a function</em>. It does not pass the vertical line test.
The line y=x is shown (dashed orange) so you can see the symmetry of the function and its inverse.
Answer:
6 divided by 1/4 = n
Step-by-step explanation:
It might help to work backwards, and with a simplified problem.
How many 1/4-foot boards go into a 1-foot board? 4 boards
How many 1-foot boards go into a 6-foot board? 6 boards
So that's 4 boards/foot times 6 feet = 24 boards.
Looking at the answer choices:
B is wrong because dividing a 6-foot board into 4-foot boards isn't even going to work out perfectly
C is wrong because dividing a quarter-foot board into 6 foot pieces isn't giving you any board in the first place
D is wrong because we aren't asking for 1/6-foot board anywhere
So the answer is A - 6 divided by 1/4 = n