Determine if each given example represents a linear, quadratic, absolute value, or exponential function. Explain.

Question

1. y = 2x — 7
2. f(x) = x² — 8
3. p(x) = 3(5)^x
4. y = |x + 4|

Answer 1

1) A linear function is determined by the formula y=mx+b. This would be a linear function

2) Quadratic equations always have the x raised to a power of 2 - anything with x² is a quadratic function!

3) Exponential functions are anything that is growing exponentially, usually indicated by the x^x in the equation.

4) the two lines on either side of the equation are absolute value bars. They always give a positive answer and can never be negative.