Question

please help what is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 4f(x)

Answer 1

A function assigns the values. When in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x) is equal to x. If f(x) in the given function is replaced with 4f(x), then the result will be,

$4f(x) = x\\\\f(x)=\dfrac{x}4 \\\\ f(x) = \dfrac14 \times x$

Hence, when in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

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