Evaluate a function from its graph
Published:
The function $f(x)$ is graphed in the $xy$-plane above. What is the value of $f(-1)$?
A) $-1$
B) $\frac{1}{2}$
C) $\frac{3}{2}$
D) $2$
This question includes visual content: A Cartesian coordinate system (xy-plane) with a grid. A straight line representing a linear function f(x) passes through the origin (0,0). By observing the grid points, the line passes through (2, -1) and (-2, 1). There is an arrow on both ends of the line.
Animated Video Solution
The first half plays free, the full solution is in the app.
Step by Step Written Solution
Hi Syeda, let's solve this together. We are given the graph of a linear function f of x, and we need to find the value of f of negative one.
Finding $f(-1)$ from the Graph
Let's first analyze the graph of the function f of x. We can observe that the graph is a straight line passing through the origin, which is the point zero, zero.
Step 1: Identify Key Points
Another clear point on the line is negative two, one. Let's mark both of these points on our coordinate system.
Using these two points, we can determine the slope of the line. The slope, m, is given by the change in y divided by the change in x.
Step 2: Calculate the Slope
Let's substitute our points: negative two, one and zero, zero into the formula.
This simplifies directly to negative one half. So the slope of our line is negative one half.
The rest of this solution is on Solvi
5 more steps are locked. Watch the full animated, narrated solution for free.
Snap a photo, solve any question like this.
Watch the Rest for Free
Free to download · First solutions are on us
