For the graph g(x) below, find the indicated information. Write answers in inter
ID: 3031042 • Letter: F
Question
For the graph g(x) below, find the indicated information. Write answers in interval notation where appropriate. Find g(5). State the intervals of x where the graph is increasing State the intervals of x where the graph a decreasing. State the interval of x where the graph is constant. State the coordinates of the x-intercept(s). State the coordinates of the y-intercept. g. State the domain in interval notation. h. State the range in interval notation. i. Find any relative maxima. j. Find any relative minima.Explanation / Answer
a) g(5)
that is function value at x = 5
g(5) = 2
b) intervals of increasing that is going up
[ - 3 , 2 ] U [ 4,6]
c) intervals of decreasing that is graph going down
[ -5 , -3 ] U [ 6 , 7 ]
d) interval of constant that is graph is constant
[ 2,4 ]
e) coordinates of x intercepts ( points where graph cuts x axis )
( - 5,0 ) and ( 1, 0 )
f) y intercept ( points where graph cuts y axis )
( 0 , -1 )
g) domain is all x values where graph exists
domain is [ -5 , 7 ]
h) range is all y values where graph exists
range is [ 3,-4]
i) relative maxima at (6,3)
j) relative minima at (-3, -4 )