+28
The table of values represents the function g(x) and the graph shows the function f(x).
xg(x)g(x)
−5 ,4
−4 ,1
−3 ,0
−2 ,1
-1,4
Which statement about the functions is true?
f(−2) is greater than g(−2)
f(x) and g(x) intersect at exactly two points.
f(x) is greater than g(x) for all values of x.
f(x) and g(x) are both absolute value functions.
+23253 Is f(-2) greater than g(-2)
-- by graph, f(-2) = 2; by table, g(-2) = 1 -- Which is greater?
Do f(x) and g(x) intersect at exactly two points?
-- f(-5) = 3; g(-5) = 4
f(-4) = 2; g(-4) = 1
f(-3) = 1; g(-3) = 0
f(-2) = 2; g(-2) = 1
f(-1) = 3; g(-1) = 4
For the same value of x, goes f(x) = g(x) for two points?
Is f(x) greater than g(x) for all values of x?
-- look at the list for the second question; if f(x) always greater than g(x) for the same value of x.
f(x) is an absolute value of x. It creates a v-shape and it there are straight rays coming from the vertex
Graph g(x) -- is there a v-shape? are there straight rays coming from the vertex?
