# math

Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1.]
f(x) =
x + 7 if x < 0
2x − 5 if x ≥ 0
1
continuous discontinuous

If it is not continuous on its domain, list the points of discontinuity. (If there is no such point, enter NONE.)
x = 2

1. 👍
2. 👎
3. 👁
1. This is very simple and quick to graph.

Have you tried to graph these?

What don't you understand?

1. 👍
2. 👎
2. In google type: "function graphs online"

When you see list buf results click on:

rechneronline.de/function-graphs/

When page be open in blue rectacangle
type: x+7

in grey rectacangle click: 2*x-5

In Display properties set:
Range x-axis -20 to 20
and
Range y-axis -20 to 20

Then click option Draw

1. 👍
2. 👎
3. Continuous

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

1. Graph the function and identify the domain and range. y=-5x^2 oo=infinite A) Domain: (-oo, oo) Range: [0, oo) B) Domain: (-oo, oo) Range: (-oo, 0] C) Domain: (-oo, oo) Range: (-oo, 0] D) Domain: (-oo, oo) Range: [0, oo) 2. How

2. ### Precalculus

The function f has a domain of [0,5]and a range of [0,3]. Start by sketching a potential graph of f. Suppose the function k is defined as k(x)=f(x−3). Determine the domain and range of k. Domain: Range:

3. ### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain:

4. ### Calculous

the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x

1. ### Calculus (Continuity)

If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0

2. ### Calculus

A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

3. ### Maths

Given the equation y=2x-4 of an exponential function f 1)write down the equation of horizontal asymptote of f 2)determine the y intercept of f 3)determine the y value of a point on f with x=-2 4)draw the graph of the function of f

4. ### Calc AB

Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a function. So, in some cases you must restrict the domain of f(x) so that it's one-to-one. There might be more

1. ### Math(Reiny Could You Help?)

The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)= 3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). A.)

2. ### Algebra

Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x

3. ### AP Calculus

a continuous function f has domain (1,25) and range (3,30). if f'(x) is less than 0 for all x between 1 and 25, what is f(25)? a)1 b)3 c)25 d)30 e)impossible to determine from the information given

4. ### Calculus

Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it