Worksheet: Finding the Value of Functions from Graphs

In this worksheet, we will practice finding the value of a function using given graphs.

Q1:

The given graph represents a function. What would be the value of the output for an input of 5?

Q2:

If the following graph represents the function 𝑓 ( 𝑥 ) = 𝑥 + 3 , determine 𝑓 ( 1 ) .

Q3:

Find the output, 𝑦 , of the function represented by the given graph when its input is 2.

Q4:

If the following graph represents the function 𝑓 ( 𝑥 ) = ( 𝑥 + 1 ) , determine 𝑓 ( 1 ) .

Q5:

Determine 𝑓 ( 1 ) .

Q6:

If the graph shown represents the function 𝑓 ( 𝑥 ) = ( 𝑥 3 ) 2 , determine 𝑓 ( 3 ) .

Q7:

The parabola intersects the 𝑥 -axis at 𝐴 ( 3 , 0 ) and 𝐵 ( 1 2 , 0 ) where 𝑀 is the vertex of the parabola. Find 𝑓 ( 1 5 ) given 𝑓 ( 0 ) + 𝑓 ( 1 5 ) = 1 4 .

Q8:

Determine 𝑓 ( 5 ) .

Q9:

Determine 𝑓 ( 1 ) .

Q10:

Determine 𝑓 ( 1 0 ) .

Q11:

If the graph shown represents the function 𝑓 ( 𝑥 ) = ( 𝑥 + 3 ) 1 , determine 𝑓 ( 3 ) .

Q12:

If the graph shown represents the function 𝑓 ( 𝑥 ) = ( 𝑥 + 2 ) 1 , determine 𝑓 ( 2 ) .

Q13:

If the following graph represents the function 𝑓 ( 𝑥 ) = ( 𝑥 3 ) , determine 𝑓 ( 3 ) .

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