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Success Criteria
Success Criteria
At the end of this chapter, students are able to:
At the end of this chapter, students are able to:
- Simplify exponential expressions.
- Solve exponential equations using comparison of powers.
- Solve exponential equations using the substitution method.
- Sketch exponential graphs.
- Use exponential functions to model real-world problems (AO2).
Recap
Recap
In the previous chapter, we learnt about polynomials. Polynomials are of the form, axⁿ, where the variable is the base of the term. An exponential has a similar form, abˣ, but the variable is now the exponent of the term.
In the previous chapter, we learnt about polynomials. Polynomials are of the form, axⁿ, where the variable is the base of the term. An exponential has a similar form, abˣ, but the variable is now the exponent of the term.
Polynomial vs Exponential Functions
Introduction
Introduction
An exponential function is characterised by its rate of growth to be dependent on its current value. Embedded within exponential functions is some sort of doubling or halving effect.
An exponential function is characterised by its rate of growth to be dependent on its current value. Embedded within exponential functions is some sort of doubling or halving effect.
Eg. Zombies. The rate at which the number of zombies increase (in movies) depend on the existing number of zombies in the population.
Eg. Zombies. The rate at which the number of zombies increase (in movies) depend on the existing number of zombies in the population.
1 becomes 2. 2 becomes 4. 4 becomes 8 and so on.
1 becomes 2. 2 becomes 4. 4 becomes 8 and so on.
Next: Let's review the Indice laws again.
Next: Let's review the Indice laws again.
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