Question 944435: Using the graph: (-4,4) , (-2,0) , (0,-4) , (1,-3) , (2,0) , (3,3) , (4,1)
A. Find the domain and range
B. List the intercepts
C. Find f(1)
D. For what value of x does f(x)=3
E. Solve f(x) > 1
Really need help with this one.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Using the graph: (-4,4) , (-2,0) , (0,-4) , (1,-3) , (2,0) , (3,3) , (4,1)
A. Find the domain and range
domain are all the x-values: {-4, -2, 0, 1, 2, 3, 4}
range are all the y-values: {-4, -3, 0, 1, 3, 4}
.
B. List the intercepts
there is an x-intercept when the y-value is 0
x-intercept is at (-2,0) and (2,0)
.
there is an y-intercept when the x-value is 0
y-intercept is at (0,-4)
.
C. Find f(1)
for f(1), this means x-value is 1 -- the point is at (1, -3) so
f(1) = -3
.
D. For what value of x does f(x)=3
when f(x)=3 this means the y-value is 3 -- the point is at (3,3)
so the x-value is 3
.
E. Solve f(x) > 1
consider the points (-4,4) , (-2,0) , (0,-4) , (1,-3) , (2,0) , (3,3) , (4,1)
we are looking for the y-value that is greater than 1 -- there are two (-4,4) and (3,3) so:
x = {-4,3}
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