Answer:
15. f(-2) = 2
17. f(x) = 1 for x = ±1.7
Step-by-step explanation:
You want various values of the function and its inverse relation for f(x)=x²-2.
Reading the graph
The value of f(x) is found by locating the value x on the x-axis and following the vertical line until it intersects the graph. Find the y-coordinate of that point.
The value of x for f(x) = k is found by locating k on the y-axis and following the horizontal line to the points of intersection with the graph. The x-coordinates of the points are the values of interest. Interpolation is often required.
15. f(-2)
The graph intersects the vertical line at x=-2 where y = 2.
f(-2) = 2
17. f(x) = 1
The horizontal line at y=1 intersects the graph in two places, located symmetrically about the y-axis. The leftmost point is approximately (-1.7, 1). The rightmost point is approximately (1.7, 1).
x ≈ -1.7 or +1.7
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Additional comment
The instructions are to use the figure to answer the question. We interpret that to mean that you are to read the answers from the graph.
You can also use the figure to determine the equation for the graph (part of our problem statement, above). Then you can find the solutions by using the equation.
f(x) = 1
x² -2 = 1
x² = 3
x = ±√3 ≈ ±1.732 . . . . the values for problem 17
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