the graph of $y = f(x)$ is shown below. find all values of $x$ where $f(x) = 4$.
the graph of $y = f(x)$ is shown below. find all values of $x$ where $f(x) = 4$.
Answer
Explanation:
Step1: Understand the problem
We need to find the ( x )-values where ( f(x) = 4 ). This means we look for the points on the graph of ( y = f(x) ) where the ( y )-coordinate is 4, and then find the corresponding ( x )-coordinates.
Step2: Locate ( y = 4 ) on the graph
Draw a horizontal line at ( y = 4 ) (since we want ( f(x) = 4 ), which is the ( y )-value). This line will intersect the graph of ( y = f(x) ) at certain points.
Step3: Find the intersection points
Looking at the graph, the horizontal line ( y = 4 ) intersects the parabola at two points. By examining the grid, we can see that the ( x )-coordinates of these intersection points are ( x = 1 ) and ( x = 4 ) (or we can count the grid squares: from the vertex and the shape of the parabola, moving left and right from the axis of symmetry, we find the ( x )-values where ( y = 4 )).
Answer:
The values of ( x ) where ( f(x) = 4 ) are ( x = 1 ) and ( x = 4 ) (or in boxed form, if we list them: (\boxed{1}) and (\boxed{4}), but since the question says "all values", we can present them as ( x = 1 ) and ( x = 4 )).