SOLUTION: f(x)=8x2-4x-5 for the given function f match each domain value(-1,0,1/2,2) with its corresponding range value.

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Question 149447: f(x)=8x2-4x-5
for the given function f match each domain value(-1,0,1/2,2) with its corresponding range value.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
With the given domain values are -1,0,1/2, and 2, we can find the corresponding range values by plugging in each value. So I'll do the first one and the third one.

# 1

Let's find the corresponding range value for x=-1



y=8x%5E2-4x-5 Start with the given equation.


y=8%28-1%29%5E2-4%28-1%29-5 Plug in x=-1.


y=8%281%29-4%28-1%29-5 Square -1 to get 1.


y=8-4%28-1%29-5 Multiply 8 and 1 to get 8.


y=8%2B4-5 Multiply -4 and -1 to get 4.


y=7 Combine like terms.


So with the given domain value of x=-1, the corresponding range value is y=7



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# 3

Let's find the corresponding range value for x=1%2F2

y=8x%5E2-4x-5 Start with the given equation.


y=8%281%2F2%29%5E2-4%281%2F2%29-5 Plug in x=1%2F2.


y=8%281%2F4%29-4%281%2F2%29-5 Square 1%2F2 to get 1%2F4.


y=2-4%281%2F2%29-5 Multiply 8 and 1%2F4 to get 2.


y=2-2-5 Multiply -4 and 1%2F2 to get -2.


y=-5 Combine like terms.


So with the given domain value of x=1%2F2, the corresponding range value is y=-5