(08.07HC) An expression is shown below f(x)=5x^2+2x-3 Part A: what are the x-intercepts of the graph of f(x)? show tour work Part B: Is the vertex of the graph of f(x) going to be a maximum of minimum? What are the coordinates of the vertex ?Justify your answers and show your work. Part C: what are the steps you would use to graph f(x)? Justify that you can use the anwsers obtained in Part A and Part B to draw the graph.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the answer on ed. is:

c. "the graph of f(x) has exactly two x-intercepts."

hope i could someone! : )