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# Quick Math Question.

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1.

The table shows values for functions f(x) and g(x) .

xf(x)g(x)
113
3−9−9
50−2
722
9129
11111

What are the known solutions to f(x)=g(x) ?

1

3

7

9

11

2.

Use the graph that shows the solution to f(x)=g(x) .

f(x)=2x√3−4

g(x)=2x2−4

What is the solution to f(x)=g(x) ?

x=−1

x= 0

x = 1

x = 2

Graphs:

Mar 14, 2018

#1
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1)   Where the values in the vertical columns of f(x) and g(x) are equal is the values of x that make them so

Look where x=3     they are both  -9     so x = 3 is an answer

and look at where x = 7   they are both 2  so x = 7 is an answer

2) the graph of g(x) is a parabola open UPWARD (like a bowl)  ....becaues the x^2 has a positive co-efficient (+2)

so the second graph is the one to look at.....

THEN, notice where the lines of the graphs cross....those are where the functions are equal valued.....then

note the 'x' values of those points....there are two....  at x = 0   and x= 1

(the actual POINTS are   0, -4     and      1, - 2   )

Cool ?

Mar 14, 2018