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.

RichBoiiiKen May 28, 2020

#1**0 **

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?

geno3141 May 28, 2020