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Exponential graphs and parameters
Exponential graphs and parameters
Example 1
For y=5×2x, find the y−intercept as ay−value.
y
-202010203040 x
y=5×2xShow worked answer
Answer: 5
- At the y−axis x=0, and 20=1, so y=5.
Example 2
For y=20(0.8)x, what happens when x increases by 1?
Show worked answer
Answer: The value decreases by 20%
- Each unit step multiplies the previous value by 0.8, retaining 80% and losing 20%.
Example 3
An exponential model is y=2×2x. What is y when x=2?
Show worked answer
Answer: 8
- Substitute x=2:y=2×4=8.
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