Which of the following statements are true of the graph of the function f(x)=(x+5)(x- work) 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

From the function given by f(x)=(x+5)(x-3), the true statements will be as follows:

the roots are x=-5 and x=3,
thus the x-intercepts are at (-5,0) and (3,0)

f(x)=(x+5)(x-3)=x^2+2x-15,
setting x=0, f(x)=0^2+2(0)-15=-15,
 thus the y-intercept is at (0,-15)

from f(x)=x^2+2x-15, we see that coefficient of x^2 is positive, thus the graph has a relative maximum.