Question

Consider the functions.

Answer 1

Answer:

The answers for the three statements are true, false and false.

Step-by-step explanation:

The steepness of a curve is measured by the slope of that curve.

We are given three parabolic curves of the form y = k$x^{2}$

The slope at each point would depend on the k term.

So the curve with higher value of k will be having higher slope and the curve will be steeper.

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

g(x) = $\frac{15}{4} x^{2}$

h(x) = $\frac{4}{15} x^{2}$

(a)f(x) is steeper than h(x) because k value is higher for f(x).

(b)h(x) is not steeper than g(x).

(c)g(x) is not steeper than f(x) because the k value is lesser.