SOLUTION: Consider the function f(x)=x^2+6x-2. b)Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Consider the function f(x)=x^2+6x-2. b)Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in th      Log On


   



Question 115516: Consider the function f(x)=x^2+6x-2.

b)Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in the table below. Make sure your x-values are in increasing order in your table.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's evaluate an x-value that is to the left of x=-3. Let's evaluate f%28-5%29


f%28x%29=x%5E2%2B6x-2 Start with the given function.


f%28-5%29=%28-5%29%5E2%2B6%28-5%29-2 Plug in x=-5. In other words, replace each x with -5.


f%28-5%29=%2825%29%2B6%28-5%29-2 Evaluate %28-5%29%5E2 to get 25.


f%28-5%29=%2825%29%2B-30-2 Multiply 6 and -5 to get -30


f%28-5%29=-7 Now combine like terms


-----------Now let's evaluate another value---------


Let's evaluate an x-value that is to the left of x=-3. Let's evaluate f%28-4%29


f%28x%29=x%5E2%2B6x-2 Start with the given function.


f%28-4%29=%28-4%29%5E2%2B6%28-4%29-2 Plug in x=-4. In other words, replace each x with -4.


f%28-4%29=%2816%29%2B6%28-4%29-2 Evaluate %28-4%29%5E2 to get 16.


f%28-4%29=%2816%29%2B-24-2 Multiply 6 and -4 to get -24


f%28-4%29=-10 Now combine like terms






-----------Now let's evaluate another value---------


Let's evaluate an x-value that is to the right of x=-3. Let's evaluate f%28-2%29


f%28x%29=x%5E2%2B6x-2 Start with the given function.


f%28-2%29=%28-2%29%5E2%2B6%28-2%29-2 Plug in x=-2. In other words, replace each x with -2.


f%28-2%29=%284%29%2B6%28-2%29-2 Evaluate %28-2%29%5E2 to get 4.


f%28-2%29=%284%29%2B-12-2 Multiply 6 and -2 to get -12


f%28-2%29=-10 Now combine like terms


-----------Now let's evaluate another value---------


Let's evaluate an x-value that is to the right of x=-3. Let's evaluate f%28-1%29


f%28x%29=x%5E2%2B6x-2 Start with the given function.


f%28-1%29=%28-1%29%5E2%2B6%28-1%29-2 Plug in x=-1. In other words, replace each x with -1.


f%28-1%29=%281%29%2B6%28-1%29-2 Evaluate %28-1%29%5E2 to get 1.


f%28-1%29=%281%29%2B-6-2 Multiply 6 and -1 to get -6


f%28-1%29=-7 Now combine like terms

Now lets make a table of the values we have calculated

xy
-5-7
-4-10
-3-11
-2-10
-1-7