Graphs and Coordinates - Online Tutor, Practice Problems & Exam Prep

Find the x-intercept for the graph given below. Also, state the domain of the function in set-builder notation.

Determine the domain and the range of the function using the graph shown.

Determine the domain and the range of the function using the graph shown.

Based on the given graph, for what value of x is f(x) = 5?

Based on the given graph, for what value of x is f(x) = -3?

Find the value of f at x = 7 by using the graph shown.

Find the value of f at x = 1 by using the graph shown. 

Determine if the given graph represents y as a function of x by using vertical line test.

Determine if the given graph represents y as a function of x by using vertical line test.

Determine if the given graph represents y as a function of x by using vertical line test.

Determine if the given graph represents y as a function of x by using vertical line test.

Graph the following square root functions in the same cartesian plane using the given values of x. Then, compare graph g with graph f.

f(x) = √5x {0 ≤ x ≤ 16), g(x) = √5x + 8 {0 ≤ x ≤ 16}

Draw the graph for the given function f and g in the same rectangular system and state the relation between both graphs. 

f(x) = 3x³, g(x) = 3x³ - 7

Draw the graph for the given function f and g in the same coordinate system and state the relation between both graphs. 

f(x) = |2x|, g(x) = |2x| + 5

Solve  if f(x) = x² +x +1

Consider the data provided in the table and solve the given expression. 

√[f²(1) + g²(-2)] /g(1) + f(-2)∙g(0).

Consider the expression given below for f and g and find out g(-1) and f[g(-1)].

f(x) = x³ -2x² +x +1 ; g(x) = √(1 -x²)

Consider the expression given below for f and g and find out g(8) and f[g(8)].

f(x) = 2x^1/3 -x +4; g(x) = x +19 

Evaluate the given function as required and simplify.

f(x) = |x - 7| / |x - 7| if f(- 13)

Evaluate the given function as required and simplify.

f(x) = |x - 8| / |x - 8| if f(13)

Evaluate the given function as required and simplify.

f(x) = √(x + 2) + 2/3 if f(a - 10)

Evaluate the given function as required and simplify.

f(x) = √(x + 11) + 0.5 if f(14)

Evaluate the given function as required and simplify.

f(x) = √(x + 4) + 2 if f(- 4)

Determine the domain and the range using the graph shown.

Find the y-intercept for the graph given below. Also, state the range of the function in set-builder notation.

Find the x-intercept and the y-intercept of the function using the graph given below.

Evaluate the given function as required and simplify.

h(x) = 2x⁴ + x² - 5 if h(2a)

Find the domain and the range of the function using the graph given below.

Evaluate the given function as required and simplify.

h(x) = x⁴ + 5x² - 11 if h(- 3x)

Find the domain and the range of the function using the graph given below.

Evaluate the given function as required and simplify.

k(x) = x² + 5x - 4 if k(- 2x)

Evaluate the given function as required and simplify.

k(x) = x² + 9x + 16 if k(x + 1)

Evaluate the given function as required and simplify.

k(x) = x² + 8x + 12 if k(- 4)

Evaluate the given function as required and simplify.

f(x) = 6x - 9 if f(- 2x)

Evaluate the given function as required and simplify.

f(x) = 3x - 11 if f(x + 8)

Evaluate the given function as required and simplify.

f(x) = 2x - 7 if f(10)

Find out if the given graph is a function of x using the vertical line test. 

Find out if the given graph is a function of x using the vertical line test. 

Find out if the given graph is a function of x using the vertical line test. 

Draw the graph for the given function f and g in the same rectangular system and state the relation between both graphs. 

f(x) = 2x³, g(x) = 2x³ +7

For the following equation, determine if it defines y as a function of x.

|9x| - 3y = 6

For the following equation, determine if it defines y as a function of x.

2xy + 12y = 24

For the following equation, determine if it defines y as a function of x.

11x + 19y³ = 29

For the following equation, determine if it defines y as a function of x.

y = √x - 37

For the following equation, determine if it defines y as a function of x.

8y² = - 4x

For the following equation, determine if it defines y as a function of x.

5x² - 2y = 6

For the following equation, determine if it defines y as a function of x.

x - y = 39

Determine if the following relation is a function and find its domain and range:

{(9, 18), (9, 27), (9, 36)}

Determine if the following relation is a function. If so, find its domain and range:

{(0, 0), (- 4, - 4), (5, 5), (- 6, - 6)}

Determine if the following relation is a function. If so, find its domain and range:

{(7, −5), (9, −5), (11, 9), (13, 8)}

Determine if the following relation is a function. If so, find its domain and range:

{(1, 11), (1, 22), (3, 8), (3, 10)}

Determine if the following relation is a function. If so, find its domain and range:

{(1, 7), (2, 8), (3, 3)}

Find out the range of the function after graphing it

Find out whether the given graph is a function of an even function, odd function, or none of these

Evaluate the symmetry of the graph for the given equation. y = x^1/3

Determine the domain of the function using the graph 

Identify function using vertical lines test where y is a function of x 

Consider the following equation: 3y + x = -9. Does it define y as a function of x?

For the given function, determine if it is a function or just a mere relation. (2, 5), (3, 1916), (5, e). In case it is a function, identify the domain and range.

Identify function using vertical lines test where y is a function of x 

Assess and solve the following function for the mentioned values of the independent variable:  

Find  f(3)

Assess and solve the following function for the mentioned value of the independent variable: g(x) = x³-3 ; g(0) 

Solve the given equation for y and then establish whether the given equation defines y as a function of x: x² + y - 1 = 0

Graph the following equation using x = {-3, -2, -1, 0, 1, 2, 3}.

y = 2x² + 1

Plot the following point in the Cartesian coordinate system: (-6,4)

Use the graph to determine all the x- and y-intercepts.

A certain function is defined as h(x) = √(5x). What is this function's domain?

Plot the following point in the Cartesian coordinate system: (-10,0)

Plot the following point in the Cartesian coordinate system: (-7/2,9/2)

Using the following graph, write the domain for which the function is continuous. Present the domain in interval notation. 

Identify if the three points given can form a right triangle:

(-14,6), (-8,-5), (3,1)

Graph the following equation using x = {-3, -2, -1, 0, 1, 2, 3}: y = (1/3)x³ - 4

Determine the x and y-intercepts (if there is any) of the graph shown.

Find out if the given equation represents a function. Also, find the domain and range.
y=√(69x+1)

Determine the x and y-intercepts (if there is any) of the graph shown.

Using the following English sentence, write an equation and graph.

The y-value is twenty-five decreased by four times the square of the x-value.

Evaluate f(0) for the function given below.

f(x) = -7x + 18

Graph the greatest integer function given below. Write the domain and range of the function.

f(x ) = [[3x]]

Consider the following function:

f(x) = 2x³ - 7x + 13

Determine if it is even, odd or neither.

Evaluate f(6t - 5) for the function given below.

f(x) = -14x + 29

Graph the following equation. f(x) = - √x + 9

Identify the quadrant(s) where these conditions form a region.

1 - x³ > 0 and 1 - y³ < 0

Graph the following equation and label the x-intercepts, if there are any.

y = 4(x + 2)² + 7(x + 2) - 2

Graph the following equation and label the x-intercepts, if there are any.

y = 5x^-2 - 4x^-1 - 1

Graph the following equation and label the x-intercepts, if there are any.

y = √(x + 8) + √(x - 8) - 4

Rewrite the following statement as an absolute-value equation.

"The magnitude of the displacement between G and H is 13 units."