- #1
catteyes
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Homework Statement
y=x^2[SQ.RT.(9 - x^2)]
Homework Equations
The Attempt at a Solution
0= x^2 (+/- 3 - x)
0=x(x+3)(x-3)
x=0
x=3
x=-3
y=0[SQ.RT.(9-0)]
y=SQ.RT.(9)
y=+/-3
y= 3
y=-3
Intercepts are the points where a graph crosses the x-axis (horizontal) or y-axis (vertical). These points represent the values of x and y when the graph intersects with these axes.
To find the x-intercept, set y=0 in the equation of the graph and solve for x. The resulting value of x is the x-intercept.
To find the y-intercept, set x=0 in the equation of the graph and solve for y. The resulting value of y is the y-intercept.
Intercepts help us understand the behavior of a graph and its equation. They also provide important information about the relationship between the variables in the equation.
Yes, a graph can have multiple intercepts. This occurs when the graph crosses the x-axis or y-axis at more than one point, indicating that there are multiple values of x and y that satisfy the equation.