Question

F(x)= 1/2 x + 3 a linear, quadratic, exponential function or none of those

Answer 1

Answer:

linear

The problem:

$f(x)=\frac{1}{2}x+3$ is linear, quadratic, exponential, or none of these?

Step-by-step explanation:

If the function is $f(x)=\frac{1}{2}x+3$ then f is linear.

It is linear because it is a polynomial with first degree.

It is linear because you can compare it to the slope-intercept form of a linear equation which is y=mx+b.  We see thatm=1/2 and b=3.

Example of  quadratics:

$a(x)=4x^2+3x+1$

$b(x)=5x^2+1$

$c(x)=5x^2-x$

$d(x)=5x^2$

All the functions a through d are quadratics because they are polynomials with degree 2.

Also each one of them are comparable to the quadratic expression:

$ax^2+bx+c$.

Examples of exponential:

$e(x)=5^x$

$g(x)=5 \cdot 3^{3x}$

Notice all of these have a variable exponent on a constant base.