Maths-

General

Easy

Question

# What is the graph of

Hint:

### A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f(x) = , where p(x) and q(x) are polynomials such that q(x) ≠ 0.

Rational functions are of the form y = f(x)y = fx , where f(x)fx is a rational expression .

## The correct answer is: The vertical asymptote of the rational function is x= 3 and x= -5 . This function has the x -intercept at (1.667,0) and y -intercept at (0,1) . We will find more points on the function and graph the function.

- Find the asymptotes of the rational function, if any.
- Draw the asymptotes as dotted lines.
- Find the x -intercept (s) and y -intercept of the rational function, if any.
- Find the values of y for several different values of x .
- Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.

The vertical asymptote of a rational function is x -value where the denominator of the function is zero. Equate the denominator to zero and find the value of x .

x^{2} + 2x - 15= 0

x^{2} + 5x -3x - 15= 0

x(x + 5) - 3 (x + 5) = 0

(x – 3) (x + 5) = 0

x – 3 = 0 or x + 5 = 0

x = 3 or x = -5

The vertical asymptote of the rational function is x = 3 and x = -5 .

This function has the x - intercept at (1.667,0) and y -intercept at (0,1) . We will find more points on the function and graph the function.

### Related Questions to study

Maths-

### Find the equation for a path that passes through the point (-4, 9) and is parallel to .

### Find the equation for a path that passes through the point (-4, 9) and is parallel to .

Maths-General

Maths-

### Write explicit formula.

### Write explicit formula.

Maths-General

Maths-

### Write explicit formula.

### Write explicit formula.

Maths-General

Maths-

### Write explicit formula.

### Write explicit formula.

Maths-General

Maths-

### Graph each function

### Graph each function

Maths-General

Maths-

### Find the equation for a path that passes through the point (6, 6) and is perpendicular to .

### Find the equation for a path that passes through the point (6, 6) and is perpendicular to .

Maths-General

Maths-

### Write explicit formula.

### Write explicit formula.

Maths-General

Maths-

### Write explicit formula.

### Write explicit formula.

Maths-General

Maths-

### Write explicit formula.

### Write explicit formula.

Maths-General

Maths-

### Graph each function

### Graph each function

Maths-General

Maths-

### What is the graph of the function

### What is the graph of the function

Maths-General

Maths-

### Write recursive formula and explicit formula. -15,-6,-3,12,21,...

### Write recursive formula and explicit formula. -15,-6,-3,12,21,...

Maths-General

Maths-

### The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

### The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

Maths-General

Maths-

### Write recursive formula and explicit formula. 62,57,52,47,42,...

### Write recursive formula and explicit formula. 62,57,52,47,42,...

Maths-General

Maths-

### Write recursive formula and explicit formula. -4, 5,14,23,32,...

### Write recursive formula and explicit formula. -4, 5,14,23,32,...

Maths-General