for Sumi's shop
Evaluating Piecewise Functions — Easy Worksheet 1
Grade 12 · MathSheets Name: ____________________ Date: __________
Evaluate the function at the given value of x.
How to solve
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Example
f(x) = -x - 3 if x < 4; f(x) = 2x + 2 if x ≥ 4. Find f(1).
Answer: -4
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = -3x if x < -2; f(x) = -2x + 1 if x ≥ -2. Find f(1).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = -2x + 1 if x < -2; f(x) = -2x if x ≥ -2. Find f(3).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = 2x - 1 if x < -2; f(x) = -3x + 1 if x ≥ -2. Find f(-6).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = x + 3 if x < -3; f(x) = -3x - 1 if x ≥ -3. Find f(-4).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = x + 1 if x < 2; f(x) = 2x + 2 if x ≥ 2. Find f(6).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = -3x + 3 if x < 0; f(x) = -x - 3 if x ≥ 0. Find f(2).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = 3x - 1 if x < 0; f(x) = -x - 3 if x ≥ 0. Find f(-5).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Evaluating Piecewise Functions
Compare the given x-value with each condition to choose the correct piece. Substitute x into only that piece and simplify.
Try a similar one
f(x) = x if x < 5; f(x) = -x - 1 if x ≥ 5. Find f(0).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Evaluating Piecewise Functions — Easy Worksheet 1
Evaluate the function at the given value of x.