c. The graph has an x-intercept at (5,0)
d. The graph has an x-intercept at (3,0)
e. The graph has a y-intercept at (0,-75)
Which of the following statements are true of the graph of the function f(x)=(x+5)(x-3)?
a. The graph has a relative maximum
b.The graph has a relative minimum
c.The graph has an x intercept at 5,0
d. The graph has an x intercept at 3,0
e. the graph has an y intercept at 0,-15
f. The axis of symmetry is x=-2
5 answers
its
b,d,e
b,d,e
I apologize for the mistake. Thank you for the correction.
b. The graph has a relative minimum
d. The graph has an x-intercept at (3,0)
e. The graph has a y-intercept at (0,-15)
b. The graph has a relative minimum
d. The graph has an x-intercept at (3,0)
e. The graph has a y-intercept at (0,-15)
explain the answers how you got them
b. The graph has a relative minimum: The function f(x) = (x+5)(x-3) is a quadratic function and opens upwards because the leading coefficient is positive. Therefore, the vertex of the parabola represents the relative minimum point of the function.
d. The graph has an x-intercept at (3,0): An x-intercept occurs when the y-value is 0. By setting f(x) = 0 and solving for x, we find that x=3 is a solution, indicating an x-intercept at (3,0).
e. The graph has a y-intercept at (0,-15): To find the y-intercept, we set x=0 in the function f(x) = (x+5)(x-3) and calculate the corresponding y-value. Plugging in x=0, we get f(0)=(0+5)(0-3) = 0*(-3) = 0, hence the y-intercept is at (0,-15).
d. The graph has an x-intercept at (3,0): An x-intercept occurs when the y-value is 0. By setting f(x) = 0 and solving for x, we find that x=3 is a solution, indicating an x-intercept at (3,0).
e. The graph has a y-intercept at (0,-15): To find the y-intercept, we set x=0 in the function f(x) = (x+5)(x-3) and calculate the corresponding y-value. Plugging in x=0, we get f(0)=(0+5)(0-3) = 0*(-3) = 0, hence the y-intercept is at (0,-15).
1 answer