Which function below has the lowest y-intercept?
2 answers:
If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).
If g(x) is a function defined by text:
<em>Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
</em>Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.
If g(x) is a function defined by text:
<em>Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
</em>Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.
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Input is the same as the x-term and output is the same as the y-term.
For example, take a look at the image provided with thee table.
Looking at the first box of our table, notice that if we subtract 5 from 1, we get -4 and if we subtract 5 from 2 we get -3 and if we subtract 5 from 3, we get -2. Notice that in each case, we're subtracting 5 from the input to get the output.
I attached a table so you can practice if you'd like to. All you have to do is subtract 5 from each input and you will end up with the output. The first few are done for you. I also provided an answer key in the next image so you can check your work.
The last one might be a little trick. In the input, we have n which is a variable that represents any number. If we want to find the nth term, we simply subtract 5. So we have n - 5.
First image is practice if you'd like and the second is the key.
If you don't want to do it, no worries.
