Question

Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x

Answer 1

the first should be quadratic
the second one should be exponential
and the third should be linear

Answer 2

f(x) is quadratic. g(x) and h(x) are linear.

Explanation:

So we have the three functions:

`f(x)=4x^2\\g(x)=1-x\\h(x)=32x`

Linear functions are polynomials in which the highest degree is 1.

Quadratic functions are polynomials in which the highest degree is 2.

And exponential functions usually have a variable in the exponent (e.g. 2^x).

For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.

For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.

Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.