Math 10 pure

[S.Hobden]

Hello,

Some questions from my daughters Math 10 pure course. If you could help, that'd be awesome!

Thanks

Determine the equation that represents the following table of values:

x -2 -1 0 1 2 3
y -1 1 3 5 7 9

and also

If g (x) = x2 +1, find an expression for:

g(a+h) - g(h) / a

 

[stapel]

1) Determin the equations....

Pick two points. Find the slope of the line through them. Plug that slope and one of the points into whatever formula they've given you for finding line equations from a point and a slope.

2) Find an expression for....

Plug "h" in for "x".

Plug "a + h" in for "x". Simplify.

Subtract the first expression from the second. Simplify.

Divide the result of the last step by "a". Simplify.

Eliz.

 

[S.Hobden]

Hello,

For the first question,
She wasn’t given any formulas, the only information she has is shown. Is it possible to do this question with out a formula?

And for the second question,
Again, I am having difficulty understanding the explanations.
If you could use the numbers giving it would be a big help

Mrs. Hobden

 

[stapel]

For the first question, She wasn’t given any formulas...

So she hasn't been taught how to find the slope from two points, or how to find line equations...?

In that case, she'll have to use guess-n-check and pattern recognition, and there isn't really any "process" to help her with for that. She'll just need to work with the numbers until she can come up with something.

It is extremely odd, though, that she would be covering something as advanced as function notation (the second question) before something as elementary as the slope formula (the first question).

And for the second question,
Again, I am having difficulty understanding the explanations.
If you could use the numbers giving it would be a big help

So she is not familiar with function notation and/or evaluation...?

Since we cannot really teach lessons here, please consider the following online resource instead:

. . . . .Function Notation

The first page explains function notation and basic evaluation; the second page shows evaluation at variables, and includes a worked example very similar to the posted question.

Eliz.