IXL - Find solutions using a table (Algebra 1 practice)

Look at the table of values for the functions

(

)

(

)

–

and

(

)

x	f ( x )	g ( x )
– 2	– 3	– 1
– 1	– 2	0
0	1	1
1	6	2
2	13	3

Based on the values in the table, where does the equation

(

)

(

)

have a solution?

–

between

–

and

between

and

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Learn with an example

question

Look at the table of values for the functions

(

)

–

and

(

)

–

x	f ( x )	g ( x )
– 1	– 3 2	– 2
0	– 1	– 3
1	– 1 2	– 2
2	0	1
3	1 2	6

Based on the values in the table, where does the equation

(

)

(

)

have a solution?

between

and

between

and

key idea

Any value of

that makes

(

)

and

(

)

equal is a solution to the equation

(

)

(

)

solution

Notice that

(

)

is greater than

(

)

when

Also, notice that

(

)

is less than

(

)

when

x	f ( x )	g ( x )
– 1	– 3 2	– 2
0	– 1	– 3
1	– 1 2	– 2
2	0	1
3	1 2	6

So, there is some

-value

between

and

at which the graphs of

(

)

and

(

)

cross each other. At that point,

(

)

and

(

)

are equal.

This means the equation

(

)

(

)

has a solution between

and

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Teacher tools

Work it out

Not feeling ready yet? These can help:

BB.1Complete a function table: absolute value functions

Y.3Complete a function table: quadratic functions

V.1Evaluate an exponential function

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