The function f(x) is shown in the graph. What is the equation for f(x)?
1 answer:
It's a linear graph, so we can use the slope-intercept form. Let's find the y-intercept first, which happens ar y = -3. Now let's find the slope. To do so, let's pick two points on the graph (relatively easy ones): (0, -3) and (5, -7).
Let's find the slope:
Let's write it in slope-intercept form. Recall that slope-intercept form is:
Where m = slope and b = y-intercept. We have all the parts, so let's write it:
Let's find the slope:
Let's write it in slope-intercept form. Recall that slope-intercept form is:
Where m = slope and b = y-intercept. We have all the parts, so let's write it:
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Answer:
Option C is correct.
Constant of variation k = -0.5
Step-by-step explanation:
The direct variation says that:
then, the equation is of the form: .....[1] where k is the constant of variation.
Given the table:
x f(x)=y
0 0
2 -1
4 -2
7 -3.5
Consider any values from the tables
x = 4 and y=f(x) = -2
Substitute these values in equation [1] we have;
Divide both sides by 4 we get;
Therefore, the constant of variation is, -0.5