How do you tell if a function is stretched or compressed?
When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.
What is the function of stretching?
Stretching keeps the muscles flexible, strong, and healthy, and we need that flexibility to maintain a range of motion in the joints. Without it, the muscles shorten and become tight. Then, when you call on the muscles for activity, they are weak and unable to extend all the way.
What is a compression in math?
A compression occurs when a mathematical object is scaled by a scale factor less in absolute value than one. When a compression occurs, the image is smaller than the original mathematical object. If the scaling occurs about a point, the transformation is called a dilation and the “point” is called the dilation centre.
What happens during stretching?
When you stretch a muscle, your body responds by increasing blood flow to that area. The blood vessels around the targeted muscle widen to allow more blood to flow through, and your heart starts pumping more blood.
How do you find the stretch of a function?
Key Takeaways
- When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
- In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) .
- In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) .
What happens when you stretch a function horizontally?
A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x).
What does compressed mean in algebra?
What are 4 benefits of stretching?
Benefits of stretching
- Improve your performance in physical activities.
- Decrease your risk of injuries.
- Help your joints move through their full range of motion.
- Increase muscle blood flow.
- Enable your muscles to work most effectively.
- Improve your ability to do daily activities.
How is a function stretched or compressed?
– When by either f (x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed. – In general, a vertical stretch is given by the equation y=bf (x) y = b f ( x ) . – In general, a horizontal stretch is given by the equation y=f (cx) y = f ( c x ) .
How to stretch for beginners?
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How to vertically stretch a function?
– Comparing g (x) and f (x), we have g (x) = 4 ∙ f (x). This means that the function g (x) is vertically stretched by a factor of 4. – Stretching f (x) vertically by a factor of 2 will result in h (x) being equal to 2 times f (x). – Stretching f (x) vertically by a factor of 3 will result to h (x) being equal to 3 times f (x). Hence, h (x) = 3|x|.
How to stop the stretch?
Put on a pair of thick socks and fasten the shoes comfortably.