Trigonometry Examples

Find the x and y Intercepts f(x)=-10^(x-1)-10
Step 1
Find the x-intercepts.
Tap for more steps...
Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
Tap for more steps...
Step 1.2.1
Rewrite the equation as .
Step 1.2.2
Add to both sides of the equation.
Step 1.2.3
Divide each term in by and simplify.
Tap for more steps...
Step 1.2.3.1
Divide each term in by .
Step 1.2.3.2
Simplify the left side.
Tap for more steps...
Step 1.2.3.2.1
Dividing two negative values results in a positive value.
Step 1.2.3.2.2
Divide by .
Step 1.2.3.3
Simplify the right side.
Tap for more steps...
Step 1.2.3.3.1
Divide by .
Step 1.2.4
Take the base logarithm of both sides of the equation to remove the variable from the exponent.
Step 1.2.5
The equation cannot be solved because is undefined.
Undefined
Step 1.2.6
There is no solution for
No solution
No solution
Step 1.3
To find the x-intercept(s), substitute in for and solve for .
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
Tap for more steps...
Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Simplify .
Tap for more steps...
Step 2.2.1
Simplify each term.
Tap for more steps...
Step 2.2.1.1
Subtract from .
Step 2.2.1.2
Rewrite the expression using the negative exponent rule .
Step 2.2.2
To write as a fraction with a common denominator, multiply by .
Step 2.2.3
Combine and .
Step 2.2.4
Combine the numerators over the common denominator.
Step 2.2.5
Simplify the numerator.
Tap for more steps...
Step 2.2.5.1
Multiply by .
Step 2.2.5.2
Subtract from .
Step 2.2.6
Move the negative in front of the fraction.
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4