Question

function f of x is a straight line which joins the ordered pairs negative 2.8, 16.4 and 3.5, negative 2.5. Function g of x is a curved line which joins the ordered pairs negative 1.9, 13.5 and 2.6, 0 Based on the graph, what are the approximate solutions to the equation −3x + 8 = (0.25)x?

Answer 1

Given the graph of the function
$f(x)=-3x+8$
and the graph of the function
$g(x)=(0.25)^x$

$-3x+8=(0.25)^x$ when f(x) = g(x).
This occurs at the point(s) of intersection of the graphs of the function f(x) and g(x).

From the graph, we can approximate the points of intersection of the graphs of the function f(x) and g(x) to pe points (-1.9, 13.7) and (2.7, 0).