quick answer please!!!

Question

The function g(x) is graphed.

Which statements about the function are true? Choose three options.

Answer 1

Hello, Lillian! Great question!

Whenever you see g(x) --teachers will often pronounce this as "g of x"-- treat the g(x) portion as y. The number in the parentheses will be the number you plug in for x. With that being said, using the first option as an example, g(1) = -1 simply means that when x = 1 (because the 1 is in the parentheses), y = -1 (remember to treat g(x) as y, no matter the number used for x). So for this first option, it's saying that there is a point (1,-1) on your graph. If you look at the graph, however, that is not the case. Going through the remaining options, the points are given (from second option to 5th option): (0,0) , (4,-2) , (1,1), (-1,1). Checking in with your graph, the only three options that are true are the 2nd, 4th, and 5th options. (5th being g(-1) = 1)

Hope this explanation helps!

Answer 2

With any function, the x - value is the input while the y-value (of g(x)) is the output. When looking at a graph, the coordinate (x, y) corresponds to g(x) = y.

g(1) = -1 corresponds to the point (1, -1). However, when we look at the graph, it does not pass through the point (1, -1). g(1) = -1 is not a true statement.

g(0) = 0 corresponds to the point (0, 0). When we look at the graph, it does pass through the point (0, 0). g(0) = 0 is a true statement.

g(4) = -2 corresponds to the point (4, -2). However, when we look at the graph, it does not pass through the point (4, -2). g(4) = -2 is not a true statement.

g(1) = 1 corresponds to the point (1, 1). When we look at the graph, it does pass through the point (1, 1). g(1) = 1 is a true statement.

g(-1) = 1 corresponds to the point (-1, 1). When we look at the graph, it does pass through the point (-1, 1). g(-1) = 1 is a true statement.