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Worksheet: Finding the Value of a Function Graphically

Q1:

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

Q2:

The function intersects the π‘₯ -axis at 𝐴 ( 3 , 0 ) and 𝐡 ( 1 2 , 0 ) where 𝑀 is the vertex of the function. Find 𝑓 ( 1 5 ) given 𝑓 ( 0 ) + 𝑓 ( 1 5 ) = 1 4 .

Q3:

Determine 𝑓 ( βˆ’ 1 0 ) .

Q4:

If the following graph represents the function 𝑓 ( π‘₯ ) = π‘₯ + 3 , determine 𝑓 ( 1 ) .

Q5:

If the graph shown represents the function 𝑓 ( π‘₯ ) = ( π‘₯ βˆ’ 3 ) βˆ’ 2 2 , determine 𝑓 ( 3 ) .

Q6:

If the graph shown represents the function 𝑓 ( π‘₯ ) = ( π‘₯ + 2 ) 2 , determine 𝑓 ( βˆ’ 2 ) .

Q7:

If the graph shown represents the function 𝑓 ( π‘₯ ) = ( π‘₯ + 3 ) βˆ’ 1 2 , determine 𝑓 ( βˆ’ 3 ) .

Q8:

If the following graph represents the function 𝑓 ( π‘₯ ) = ( π‘₯ + 1 ) 3 , determine 𝑓 ( βˆ’ 1 ) .

Q9:

If the following graph represents the function 𝑓 ( π‘₯ ) = ( π‘₯ βˆ’ 2 ) βˆ’ 1 3 , determine 𝑓 ( 2 ) .

Q10:

If the following graph represents the function 𝑓 ( π‘₯ ) = ( π‘₯ βˆ’ 1 ) + 2 3 , determine 𝑓 ( 1 ) .

Q11:

Determine 𝑓 ( 5 ) .

Q12:

Determine 𝑓 ( 1 ) .

Q13:

Determine 𝑓 ( βˆ’ 1 ) .