Easy math question. easy 10 points.?

Question

f(x)=1.5x-2

What is the zero of the function? (explain what this question means please and also the answer)

What are the intercepts of the graph?

Answer 1

if f(x) =y, then there is no x or y intercept.

in the first quadrant of the graph (positive values of x), the line of the function will descend along and away from the y axis, make a sort of u shape, then move to the right and approach (but never touch) the x axis.

The reason for this is that as x approaches zero, y approaches infinity, and as x approaches infinity, y approaches zero. it is easier to see this if you re-write the function as y = 1.5/x^2

for all negative values of x, you will have a mirror graph in the second quadrant (1st quadrant, y positive, x positive ; 2nd quadrant, y positive, x negative).

SO: no intercepts. no value of x makes f(x) = zero, but f(x) approaches zero as x approaches infinity, and as x approaches negative infinity.

Answer 2

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Answer 3

The zeros of the function are what happens when f(x) = 0...this is where the function crosses the x-axis.

0 = 1.5x - 2

Add 2 to both sides

2 = 1.5x

Divide both sides by 1.5

2/1.5 = x

Simplify and you get

x = 4/3

This is also the x-intercept.

For the y-intercept, plug in 0 for x and solve

f(x) = 1.5 * 0 - 2

f(x) = 0 - 2

f(x) = -2

Answer 4

the zero of a function is the value of x when the function is set to zero

f(x)=1.5x-2=0

           x=4/3

(4/3,0),(0,-2)

Answer 5

f(x) = 1.5x-2

zero of the function well simply put x = 0

f(0) = 1.5(0)-2

f(0) = 0 - 2

f(0) = -2