Question

Suppose f(x) = x^2 and g(x) = (1/5)^2 . Which statement best compares the graph of g(x) with the graph of f(x)

Answer 1

Answer:

f is a quadratic function whose value changes depending on the value of x.

g is a constant function, that is, no matter the value of x, g always has the same value.

Step-by-step explanation:

f(x)

$f(x) = x^{2}$

This is a quadratic function, that is, a parabola. For example

$f(-2) = (-2)^{2} = 4$

$f(-1) = (-1)^{2} = 1$

$f(0) = (0)^{2} = 0$

$f(1) = (1)^{2} = 1[tex]f(2) = (2)^{2} = 4$

g(x)

$g(x) = (\frac{1}{5})^{2} = \frac{1}{25} = 0.04$

This is a constant function, that is, no matter the value of x, we have that g(x) = 0.04. So

$g(-2) = 0.04$

$g(-1) = 0.04$

$g(0) = 0.04$

$g(1) = 0.04$

$g(2) = 0.04$